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Finding the Fourth Proportional to 83,078.76, 114,644.64 and 47,265.42

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Solution

The fourth proportional to 83,078.76, 114,644.64 and 47,265.42 is: 65,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078.76 : 114,644.64 = 47,265.42 : x
  2. Step 2: Convert to fraction form
    83,078.76/114,644.64 = 47,265.42/x
  3. Step 3: Cross multiply
    83,078.76x = 114,644.64 × 47,265.42
  4. Step 4: Simplify right side
    83,078.76x = 5,418,727,060.35
  5. Step 5: Solve for x
    x = 5,418,727,060.35/83,078.76
  6. Step 6: Final answer
    x = 65,223.98

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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.