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Finding the Fourth Proportional to 229,452.75, 316,644.80 and 128,850.75

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Solution

The fourth proportional to 229,452.75, 316,644.80 and 128,850.75 is: 177,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,452.75 : 316,644.80 = 128,850.75 : x
  2. Step 2: Convert to fraction form
    229,452.75/316,644.80 = 128,850.75/x
  3. Step 3: Cross multiply
    229,452.75x = 316,644.80 × 128,850.75
  4. Step 4: Simplify right side
    229,452.75x = 40,799,919,319.35
  5. Step 5: Solve for x
    x = 40,799,919,319.35/229,452.75
  6. Step 6: Final answer
    x = 177,814.04

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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.