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Finding the Fourth Proportional to 86,209.49, 129,314.12 and 27,049.71

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Solution

The fourth proportional to 86,209.49, 129,314.12 and 27,049.71 is: 40,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,209.49 : 129,314.12 = 27,049.71 : x
  2. Step 2: Convert to fraction form
    86,209.49/129,314.12 = 27,049.71/x
  3. Step 3: Cross multiply
    86,209.49x = 129,314.12 × 27,049.71
  4. Step 4: Simplify right side
    86,209.49x = 3,497,909,309.66
  5. Step 5: Solve for x
    x = 3,497,909,309.66/86,209.49
  6. Step 6: Final answer
    x = 40,574.53

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.