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Finding the Fourth Proportional to 229,978.85, 317,370.33 and 129,376.85

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Solution

The fourth proportional to 229,978.85, 317,370.33 and 129,376.85 is: 178,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,978.85 : 317,370.33 = 129,376.85 : x
  2. Step 2: Convert to fraction form
    229,978.85/317,370.33 = 129,376.85/x
  3. Step 3: Cross multiply
    229,978.85x = 317,370.33 × 129,376.85
  4. Step 4: Simplify right side
    229,978.85x = 41,060,373,578.86
  5. Step 5: Solve for x
    x = 41,060,373,578.86/229,978.85
  6. Step 6: Final answer
    x = 178,539.78

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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.