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Finding the Fourth Proportional to 229,714.80, 316,983.96 and 129,110.64

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Solution

The fourth proportional to 229,714.80, 316,983.96 and 129,110.64 is: 178,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,714.80 : 316,983.96 = 129,110.64 : x
  2. Step 2: Convert to fraction form
    229,714.80/316,983.96 = 129,110.64/x
  3. Step 3: Cross multiply
    229,714.80x = 316,983.96 × 129,110.64
  4. Step 4: Simplify right side
    229,714.80x = 40,926,001,945.33
  5. Step 5: Solve for x
    x = 40,926,001,945.33/229,714.80
  6. Step 6: Final answer
    x = 178,160.06

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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.