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Finding the Fourth Proportional to 71,829.32, 99,120.61 and 41,200.85

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Solution

The fourth proportional to 71,829.32, 99,120.61 and 41,200.85 is: 56,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,829.32 : 99,120.61 = 41,200.85 : x
  2. Step 2: Convert to fraction form
    71,829.32/99,120.61 = 41,200.85/x
  3. Step 3: Cross multiply
    71,829.32x = 99,120.61 × 41,200.85
  4. Step 4: Simplify right side
    71,829.32x = 4,083,853,683.82
  5. Step 5: Solve for x
    x = 4,083,853,683.82/71,829.32
  6. Step 6: Final answer
    x = 56,854.97

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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.