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Finding the Fourth Proportional to 178,862.42, 268,301.80 and 126,505.64

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Solution

The fourth proportional to 178,862.42, 268,301.80 and 126,505.64 is: 189,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,862.42 : 268,301.80 = 126,505.64 : x
  2. Step 2: Convert to fraction form
    178,862.42/268,301.80 = 126,505.64/x
  3. Step 3: Cross multiply
    178,862.42x = 268,301.80 × 126,505.64
  4. Step 4: Simplify right side
    178,862.42x = 33,941,690,922.15
  5. Step 5: Solve for x
    x = 33,941,690,922.15/178,862.42
  6. Step 6: Final answer
    x = 189,764.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.