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Finding the Fourth Proportional to 136,294.42, 188,086.28 and 75,863.76

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Solution

The fourth proportional to 136,294.42, 188,086.28 and 75,863.76 is: 104,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,294.42 : 188,086.28 = 75,863.76 : x
  2. Step 2: Convert to fraction form
    136,294.42/188,086.28 = 75,863.76/x
  3. Step 3: Cross multiply
    136,294.42x = 188,086.28 × 75,863.76
  4. Step 4: Simplify right side
    136,294.42x = 14,268,932,405.21
  5. Step 5: Solve for x
    x = 14,268,932,405.21/136,294.42
  6. Step 6: Final answer
    x = 104,691.98

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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.