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Finding the Fourth Proportional to 71,534, 107,266.08 and 21,604.52

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Solution

The fourth proportional to 71,534, 107,266.08 and 21,604.52 is: 32,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534 : 107,266.08 = 21,604.52 : x
  2. Step 2: Convert to fraction form
    71,534/107,266.08 = 21,604.52/x
  3. Step 3: Cross multiply
    71,534x = 107,266.08 × 21,604.52
  4. Step 4: Simplify right side
    71,534x = 2,317,432,170.68
  5. Step 5: Solve for x
    x = 2,317,432,170.68/71,534
  6. Step 6: Final answer
    x = 32,396.23

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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.