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Finding the Fourth Proportional to 229,105.92, 316,167.96 and 127,131.78

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Solution

The fourth proportional to 229,105.92, 316,167.96 and 127,131.78 is: 175,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,105.92 : 316,167.96 = 127,131.78 : x
  2. Step 2: Convert to fraction form
    229,105.92/316,167.96 = 127,131.78/x
  3. Step 3: Cross multiply
    229,105.92x = 316,167.96 × 127,131.78
  4. Step 4: Simplify right side
    229,105.92x = 40,194,995,533.77
  5. Step 5: Solve for x
    x = 40,194,995,533.77/229,105.92
  6. Step 6: Final answer
    x = 175,442.85

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1.5x scale

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.