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Finding the Fourth Proportional to 136,565.78, 188,445.57 and 82,863.86

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Solution

The fourth proportional to 136,565.78, 188,445.57 and 82,863.86 is: 114,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,565.78 : 188,445.57 = 82,863.86 : x
  2. Step 2: Convert to fraction form
    136,565.78/188,445.57 = 82,863.86/x
  3. Step 3: Cross multiply
    136,565.78x = 188,445.57 × 82,863.86
  4. Step 4: Simplify right side
    136,565.78x = 15,615,327,330.10
  5. Step 5: Solve for x
    x = 15,615,327,330.10/136,565.78
  6. Step 6: Final answer
    x = 114,342.90

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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.