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Finding the Fourth Proportional to 99,913.77, 137,876.65 and 54,589.61

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Solution

The fourth proportional to 99,913.77, 137,876.65 and 54,589.61 is: 75,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,913.77 : 137,876.65 = 54,589.61 : x
  2. Step 2: Convert to fraction form
    99,913.77/137,876.65 = 54,589.61/x
  3. Step 3: Cross multiply
    99,913.77x = 137,876.65 × 54,589.61
  4. Step 4: Simplify right side
    99,913.77x = 7,526,632,759.82
  5. Step 5: Solve for x
    x = 7,526,632,759.82/99,913.77
  6. Step 6: Final answer
    x = 75,331.29

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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.