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Finding the Fourth Proportional to 229,102.92, 316,163.82 and 127,128.78

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Solution

The fourth proportional to 229,102.92, 316,163.82 and 127,128.78 is: 175,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,102.92 : 316,163.82 = 127,128.78 : x
  2. Step 2: Convert to fraction form
    229,102.92/316,163.82 = 127,128.78/x
  3. Step 3: Cross multiply
    229,102.92x = 316,163.82 × 127,128.78
  4. Step 4: Simplify right side
    229,102.92x = 40,193,520,716.74
  5. Step 5: Solve for x
    x = 40,193,520,716.74/229,102.92
  6. Step 6: Final answer
    x = 175,438.71

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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.