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Finding the Fourth Proportional to 229,707, 316,995.66 and 129,105

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Solution

The fourth proportional to 229,707, 316,995.66 and 129,105 is: 178,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,707 : 316,995.66 = 129,105 : x
  2. Step 2: Convert to fraction form
    229,707/316,995.66 = 129,105/x
  3. Step 3: Cross multiply
    229,707x = 316,995.66 × 129,105
  4. Step 4: Simplify right side
    229,707x = 40,925,724,684.30
  5. Step 5: Solve for x
    x = 40,925,724,684.30/229,707
  6. Step 6: Final answer
    x = 178,164.90

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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.