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Finding the Fourth Proportional to 229,708.80, 316,975.68 and 129,104.64

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Solution

The fourth proportional to 229,708.80, 316,975.68 and 129,104.64 is: 178,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,708.80 : 316,975.68 = 129,104.64 : x
  2. Step 2: Convert to fraction form
    229,708.80/316,975.68 = 129,104.64/x
  3. Step 3: Cross multiply
    229,708.80x = 316,975.68 × 129,104.64
  4. Step 4: Simplify right side
    229,708.80x = 40,923,031,055.16
  5. Step 5: Solve for x
    x = 40,923,031,055.16/229,708.80
  6. Step 6: Final answer
    x = 178,151.78

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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.