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Finding the Fourth Proportional to 71,773.92, 107,661.12 and 21,854.40

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Solution

The fourth proportional to 71,773.92, 107,661.12 and 21,854.40 is: 32,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,773.92 : 107,661.12 = 21,854.40 : x
  2. Step 2: Convert to fraction form
    71,773.92/107,661.12 = 21,854.40/x
  3. Step 3: Cross multiply
    71,773.92x = 107,661.12 × 21,854.40
  4. Step 4: Simplify right side
    71,773.92x = 2,352,869,180.93
  5. Step 5: Solve for x
    x = 2,352,869,180.93/71,773.92
  6. Step 6: Final answer
    x = 32,781.67

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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.