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Finding the Fourth Proportional to 71,822, 99,125.88 and 42,008.24

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Solution

The fourth proportional to 71,822, 99,125.88 and 42,008.24 is: 57,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,822 : 99,125.88 = 42,008.24 : x
  2. Step 2: Convert to fraction form
    71,822/99,125.88 = 42,008.24/x
  3. Step 3: Cross multiply
    71,822x = 99,125.88 × 42,008.24
  4. Step 4: Simplify right side
    71,822x = 4,164,103,757.25
  5. Step 5: Solve for x
    x = 4,164,103,757.25/71,822
  6. Step 6: Final answer
    x = 57,978.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.