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Finding the Fourth Proportional to 71,766.16, 107,672.29 and 21,855.92

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Solution

The fourth proportional to 71,766.16, 107,672.29 and 21,855.92 is: 32,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766.16 : 107,672.29 = 21,855.92 : x
  2. Step 2: Convert to fraction form
    71,766.16/107,672.29 = 21,855.92/x
  3. Step 3: Cross multiply
    71,766.16x = 107,672.29 × 21,855.92
  4. Step 4: Simplify right side
    71,766.16x = 2,353,276,363.46
  5. Step 5: Solve for x
    x = 2,353,276,363.46/71,766.16
  6. Step 6: Final answer
    x = 32,790.89

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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.