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Finding the Fourth Proportional to 215,833.59, 323,843.85 and 115,877.16

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Solution

The fourth proportional to 215,833.59, 323,843.85 and 115,877.16 is: 173,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,833.59 : 323,843.85 = 115,877.16 : x
  2. Step 2: Convert to fraction form
    215,833.59/323,843.85 = 115,877.16/x
  3. Step 3: Cross multiply
    215,833.59x = 323,843.85 × 115,877.16
  4. Step 4: Simplify right side
    215,833.59x = 37,526,105,621.47
  5. Step 5: Solve for x
    x = 37,526,105,621.47/215,833.59
  6. Step 6: Final answer
    x = 173,865.92

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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.