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Finding the Fourth Proportional to 71,877.68, 99,191.30 and 40,047.69

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Solution

The fourth proportional to 71,877.68, 99,191.30 and 40,047.69 is: 55,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,877.68 : 99,191.30 = 40,047.69 : x
  2. Step 2: Convert to fraction form
    71,877.68/99,191.30 = 40,047.69/x
  3. Step 3: Cross multiply
    71,877.68x = 99,191.30 × 40,047.69
  4. Step 4: Simplify right side
    71,877.68x = 3,972,382,232.86
  5. Step 5: Solve for x
    x = 3,972,382,232.86/71,877.68
  6. Step 6: Final answer
    x = 55,265.87

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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.