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Finding the Fourth Proportional to 80,772.48, 111,471.24 and 53,897.88

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Solution

The fourth proportional to 80,772.48, 111,471.24 and 53,897.88 is: 74,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,772.48 : 111,471.24 = 53,897.88 : x
  2. Step 2: Convert to fraction form
    80,772.48/111,471.24 = 53,897.88/x
  3. Step 3: Cross multiply
    80,772.48x = 111,471.24 × 53,897.88
  4. Step 4: Simplify right side
    80,772.48x = 6,008,063,516.97
  5. Step 5: Solve for x
    x = 6,008,063,516.97/80,772.48
  6. Step 6: Final answer
    x = 74,382.56

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1.5x scale

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.