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Finding the Fourth Proportional to 261,472.68, 392,157.38 and 71,884.14

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Solution

The fourth proportional to 261,472.68, 392,157.38 and 71,884.14 is: 107,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,472.68 : 392,157.38 = 71,884.14 : x
  2. Step 2: Convert to fraction form
    261,472.68/392,157.38 = 71,884.14/x
  3. Step 3: Cross multiply
    261,472.68x = 392,157.38 × 71,884.14
  4. Step 4: Simplify right side
    261,472.68x = 28,189,896,005.95
  5. Step 5: Solve for x
    x = 28,189,896,005.95/261,472.68
  6. Step 6: Final answer
    x = 107,812.01

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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.