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Finding the Fourth Proportional to 229,717.86, 317,039.13 and 129,115.86

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Solution

The fourth proportional to 229,717.86, 317,039.13 and 129,115.86 is: 178,195.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,717.86 : 317,039.13 = 129,115.86 : x
  2. Step 2: Convert to fraction form
    229,717.86/317,039.13 = 129,115.86/x
  3. Step 3: Cross multiply
    229,717.86x = 317,039.13 × 129,115.86
  4. Step 4: Simplify right side
    229,717.86x = 40,934,779,923.60
  5. Step 5: Solve for x
    x = 40,934,779,923.60/229,717.86
  6. Step 6: Final answer
    x = 178,195.90

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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.