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Finding the Fourth Proportional to 229,672.47, 316,958.55 and 127,708.38

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Solution

The fourth proportional to 229,672.47, 316,958.55 and 127,708.38 is: 176,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,672.47 : 316,958.55 = 127,708.38 : x
  2. Step 2: Convert to fraction form
    229,672.47/316,958.55 = 127,708.38/x
  3. Step 3: Cross multiply
    229,672.47x = 316,958.55 × 127,708.38
  4. Step 4: Simplify right side
    229,672.47x = 40,478,262,947.65
  5. Step 5: Solve for x
    x = 40,478,262,947.65/229,672.47
  6. Step 6: Final answer
    x = 176,243.43

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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.