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Finding the Fourth Proportional to 215,957.92, 323,939.76 and 75,720.64

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Solution

The fourth proportional to 215,957.92, 323,939.76 and 75,720.64 is: 113,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,957.92 : 323,939.76 = 75,720.64 : x
  2. Step 2: Convert to fraction form
    215,957.92/323,939.76 = 75,720.64/x
  3. Step 3: Cross multiply
    215,957.92x = 323,939.76 × 75,720.64
  4. Step 4: Simplify right side
    215,957.92x = 24,528,925,948.65
  5. Step 5: Solve for x
    x = 24,528,925,948.65/215,957.92
  6. Step 6: Final answer
    x = 113,581.97

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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.