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Finding the Fourth Proportional to 71,891.68, 107,706.06 and 52,121.20

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Solution

The fourth proportional to 71,891.68, 107,706.06 and 52,121.20 is: 78,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,891.68 : 107,706.06 = 52,121.20 : x
  2. Step 2: Convert to fraction form
    71,891.68/107,706.06 = 52,121.20/x
  3. Step 3: Cross multiply
    71,891.68x = 107,706.06 × 52,121.20
  4. Step 4: Simplify right side
    71,891.68x = 5,613,769,094.47
  5. Step 5: Solve for x
    x = 5,613,769,094.47/71,891.68
  6. Step 6: Final answer
    x = 78,086.49

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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.