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Finding the Fourth Proportional to 99,791.60, 137,712.86 and 54,470.58

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Solution

The fourth proportional to 99,791.60, 137,712.86 and 54,470.58 is: 75,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,791.60 : 137,712.86 = 54,470.58 : x
  2. Step 2: Convert to fraction form
    99,791.60/137,712.86 = 54,470.58/x
  3. Step 3: Cross multiply
    99,791.60x = 137,712.86 × 54,470.58
  4. Step 4: Simplify right side
    99,791.60x = 7,501,298,773.15
  5. Step 5: Solve for x
    x = 7,501,298,773.15/99,791.60
  6. Step 6: Final answer
    x = 75,169.65

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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.