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Finding the Fourth Proportional to 83,843.64, 115,691.49 and 47,543.09

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Solution

The fourth proportional to 83,843.64, 115,691.49 and 47,543.09 is: 65,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.64 : 115,691.49 = 47,543.09 : x
  2. Step 2: Convert to fraction form
    83,843.64/115,691.49 = 47,543.09/x
  3. Step 3: Cross multiply
    83,843.64x = 115,691.49 × 47,543.09
  4. Step 4: Simplify right side
    83,843.64x = 5,500,330,342.85
  5. Step 5: Solve for x
    x = 5,500,330,342.85/83,843.64
  6. Step 6: Final answer
    x = 65,602.24

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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.