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Finding the Fourth Proportional to 215,335.57, 323,071.24 and 101,478.78

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Solution

The fourth proportional to 215,335.57, 323,071.24 and 101,478.78 is: 152,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,335.57 : 323,071.24 = 101,478.78 : x
  2. Step 2: Convert to fraction form
    215,335.57/323,071.24 = 101,478.78/x
  3. Step 3: Cross multiply
    215,335.57x = 323,071.24 × 101,478.78
  4. Step 4: Simplify right side
    215,335.57x = 32,784,876,418.91
  5. Step 5: Solve for x
    x = 32,784,876,418.91/215,335.57
  6. Step 6: Final answer
    x = 152,250.17

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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.