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Finding the Fourth Proportional to 83,646.43, 115,379.44 and 49,630.78

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Solution

The fourth proportional to 83,646.43, 115,379.44 and 49,630.78 is: 68,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.43 : 115,379.44 = 49,630.78 : x
  2. Step 2: Convert to fraction form
    83,646.43/115,379.44 = 49,630.78/x
  3. Step 3: Cross multiply
    83,646.43x = 115,379.44 × 49,630.78
  4. Step 4: Simplify right side
    83,646.43x = 5,726,370,974.30
  5. Step 5: Solve for x
    x = 5,726,370,974.30/83,646.43
  6. Step 6: Final answer
    x = 68,459.24

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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.