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Finding the Fourth Proportional to 86,439, 129,680.40 and 24,109.56

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Solution

The fourth proportional to 86,439, 129,680.40 and 24,109.56 is: 36,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,439 : 129,680.40 = 24,109.56 : x
  2. Step 2: Convert to fraction form
    86,439/129,680.40 = 24,109.56/x
  3. Step 3: Cross multiply
    86,439x = 129,680.40 × 24,109.56
  4. Step 4: Simplify right side
    86,439x = 3,126,537,384.62
  5. Step 5: Solve for x
    x = 3,126,537,384.62/86,439
  6. Step 6: Final answer
    x = 36,170.45

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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.