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Finding the Fourth Proportional to 83,530.86, 125,403.21 and 71,759.94

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Solution

The fourth proportional to 83,530.86, 125,403.21 and 71,759.94 is: 107,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530.86 : 125,403.21 = 71,759.94 : x
  2. Step 2: Convert to fraction form
    83,530.86/125,403.21 = 71,759.94/x
  3. Step 3: Cross multiply
    83,530.86x = 125,403.21 × 71,759.94
  4. Step 4: Simplify right side
    83,530.86x = 8,998,926,355.15
  5. Step 5: Solve for x
    x = 8,998,926,355.15/83,530.86
  6. Step 6: Final answer
    x = 107,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.