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Finding the Fourth Proportional to 71,931.30, 107,896.77 and 19,340.78

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Solution

The fourth proportional to 71,931.30, 107,896.77 and 19,340.78 is: 29,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931.30 : 107,896.77 = 19,340.78 : x
  2. Step 2: Convert to fraction form
    71,931.30/107,896.77 = 19,340.78/x
  3. Step 3: Cross multiply
    71,931.30x = 107,896.77 × 19,340.78
  4. Step 4: Simplify right side
    71,931.30x = 2,086,807,691.28
  5. Step 5: Solve for x
    x = 2,086,807,691.28/71,931.30
  6. Step 6: Final answer
    x = 29,011.12

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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.