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Finding the Fourth Proportional to 99,905.92, 137,879.70 and 54,590.78

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Solution

The fourth proportional to 99,905.92, 137,879.70 and 54,590.78 is: 75,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,905.92 : 137,879.70 = 54,590.78 : x
  2. Step 2: Convert to fraction form
    99,905.92/137,879.70 = 54,590.78/x
  3. Step 3: Cross multiply
    99,905.92x = 137,879.70 × 54,590.78
  4. Step 4: Simplify right side
    99,905.92x = 7,526,960,369.17
  5. Step 5: Solve for x
    x = 7,526,960,369.17/99,905.92
  6. Step 6: Final answer
    x = 75,340.48

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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.