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Finding the Fourth Proportional to 229,199.70, 316,279.75 and 127,217.15

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Solution

The fourth proportional to 229,199.70, 316,279.75 and 127,217.15 is: 175,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,199.70 : 316,279.75 = 127,217.15 : x
  2. Step 2: Convert to fraction form
    229,199.70/316,279.75 = 127,217.15/x
  3. Step 3: Cross multiply
    229,199.70x = 316,279.75 × 127,217.15
  4. Step 4: Simplify right side
    229,199.70x = 40,236,206,180.23
  5. Step 5: Solve for x
    x = 40,236,206,180.23/229,199.70
  6. Step 6: Final answer
    x = 175,550.87

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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.