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Finding the Fourth Proportional to 71,902.04, 107,867.18 and 21,989.22

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Solution

The fourth proportional to 71,902.04, 107,867.18 and 21,989.22 is: 32,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,902.04 : 107,867.18 = 21,989.22 : x
  2. Step 2: Convert to fraction form
    71,902.04/107,867.18 = 21,989.22/x
  3. Step 3: Cross multiply
    71,902.04x = 107,867.18 × 21,989.22
  4. Step 4: Simplify right side
    71,902.04x = 2,371,915,151.80
  5. Step 5: Solve for x
    x = 2,371,915,151.80/71,902.04
  6. Step 6: Final answer
    x = 32,988.15

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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.