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Finding the Fourth Proportional to 221,430.72, 331,948.28 and 86,463.39

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Solution

The fourth proportional to 221,430.72, 331,948.28 and 86,463.39 is: 129,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,430.72 : 331,948.28 = 86,463.39 : x
  2. Step 2: Convert to fraction form
    221,430.72/331,948.28 = 86,463.39/x
  3. Step 3: Cross multiply
    221,430.72x = 331,948.28 × 86,463.39
  4. Step 4: Simplify right side
    221,430.72x = 28,701,373,593.47
  5. Step 5: Solve for x
    x = 28,701,373,593.47/221,430.72
  6. Step 6: Final answer
    x = 129,617.85

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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.