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Finding the Fourth Proportional to 86,523.80, 129,822.15 and 47,109.20

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Solution

The fourth proportional to 86,523.80, 129,822.15 and 47,109.20 is: 70,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,523.80 : 129,822.15 = 47,109.20 : x
  2. Step 2: Convert to fraction form
    86,523.80/129,822.15 = 47,109.20/x
  3. Step 3: Cross multiply
    86,523.80x = 129,822.15 × 47,109.20
  4. Step 4: Simplify right side
    86,523.80x = 6,115,817,628.78
  5. Step 5: Solve for x
    x = 6,115,817,628.78/86,523.80
  6. Step 6: Final answer
    x = 70,683.65

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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.