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Finding the Fourth Proportional to 71,908.62, 107,862.89 and 21,988.71

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Solution

The fourth proportional to 71,908.62, 107,862.89 and 21,988.71 is: 32,983.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,908.62 : 107,862.89 = 21,988.71 : x
  2. Step 2: Convert to fraction form
    71,908.62/107,862.89 = 21,988.71/x
  3. Step 3: Cross multiply
    71,908.62x = 107,862.89 × 21,988.71
  4. Step 4: Simplify right side
    71,908.62x = 2,371,765,807.97
  5. Step 5: Solve for x
    x = 2,371,765,807.97/71,908.62
  6. Step 6: Final answer
    x = 32,983.05

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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.