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Finding the Fourth Proportional to 71,785.46, 107,682.55 and 21,869.21

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Solution

The fourth proportional to 71,785.46, 107,682.55 and 21,869.21 is: 32,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.46 : 107,682.55 = 21,869.21 : x
  2. Step 2: Convert to fraction form
    71,785.46/107,682.55 = 21,869.21/x
  3. Step 3: Cross multiply
    71,785.46x = 107,682.55 × 21,869.21
  4. Step 4: Simplify right side
    71,785.46x = 2,354,931,706.20
  5. Step 5: Solve for x
    x = 2,354,931,706.20/71,785.46
  6. Step 6: Final answer
    x = 32,805.14

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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.