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Finding the Fourth Proportional to 86,283.24, 129,337.20 and 65,463

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Solution

The fourth proportional to 86,283.24, 129,337.20 and 65,463 is: 98,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,283.24 : 129,337.20 = 65,463 : x
  2. Step 2: Convert to fraction form
    86,283.24/129,337.20 = 65,463/x
  3. Step 3: Cross multiply
    86,283.24x = 129,337.20 × 65,463
  4. Step 4: Simplify right side
    86,283.24x = 8,466,801,123.60
  5. Step 5: Solve for x
    x = 8,466,801,123.60/86,283.24
  6. Step 6: Final answer
    x = 98,127.99

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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.