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Finding the Fourth Proportional to 99,778.86, 137,697.66 and 54,459.72

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Solution

The fourth proportional to 99,778.86, 137,697.66 and 54,459.72 is: 75,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,778.86 : 137,697.66 = 54,459.72 : x
  2. Step 2: Convert to fraction form
    99,778.86/137,697.66 = 54,459.72/x
  3. Step 3: Cross multiply
    99,778.86x = 137,697.66 × 54,459.72
  4. Step 4: Simplify right side
    99,778.86x = 7,498,976,008.26
  5. Step 5: Solve for x
    x = 7,498,976,008.26/99,778.86
  6. Step 6: Final answer
    x = 75,155.96

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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.