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Finding the Fourth Proportional to 99,772.97, 137,687.85 and 59,509.62

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Solution

The fourth proportional to 99,772.97, 137,687.85 and 59,509.62 is: 82,123.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,772.97 : 137,687.85 = 59,509.62 : x
  2. Step 2: Convert to fraction form
    99,772.97/137,687.85 = 59,509.62/x
  3. Step 3: Cross multiply
    99,772.97x = 137,687.85 × 59,509.62
  4. Step 4: Simplify right side
    99,772.97x = 8,193,751,632.12
  5. Step 5: Solve for x
    x = 8,193,751,632.12/99,772.97
  6. Step 6: Final answer
    x = 82,123.97

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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.