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Finding the Fourth Proportional to 71,191.32, 106,851.66 and 37,939.80

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Solution

The fourth proportional to 71,191.32, 106,851.66 and 37,939.80 is: 56,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,191.32 : 106,851.66 = 37,939.80 : x
  2. Step 2: Convert to fraction form
    71,191.32/106,851.66 = 37,939.80/x
  3. Step 3: Cross multiply
    71,191.32x = 106,851.66 × 37,939.80
  4. Step 4: Simplify right side
    71,191.32x = 4,053,930,610.07
  5. Step 5: Solve for x
    x = 4,053,930,610.07/71,191.32
  6. Step 6: Final answer
    x = 56,944.17

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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.