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Finding the Fourth Proportional to 83,211.12, 114,824.64 and 47,394

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Solution

The fourth proportional to 83,211.12, 114,824.64 and 47,394 is: 65,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,211.12 : 114,824.64 = 47,394 : x
  2. Step 2: Convert to fraction form
    83,211.12/114,824.64 = 47,394/x
  3. Step 3: Cross multiply
    83,211.12x = 114,824.64 × 47,394
  4. Step 4: Simplify right side
    83,211.12x = 5,441,998,988.16
  5. Step 5: Solve for x
    x = 5,441,998,988.16/83,211.12
  6. Step 6: Final answer
    x = 65,399.90

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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.