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Finding the Fourth Proportional to 156,906.86, 216,535.72 and 85,291.74

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Solution

The fourth proportional to 156,906.86, 216,535.72 and 85,291.74 is: 117,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,906.86 : 216,535.72 = 85,291.74 : x
  2. Step 2: Convert to fraction form
    156,906.86/216,535.72 = 85,291.74/x
  3. Step 3: Cross multiply
    156,906.86x = 216,535.72 × 85,291.74
  4. Step 4: Simplify right side
    156,906.86x = 18,468,708,330.95
  5. Step 5: Solve for x
    x = 18,468,708,330.95/156,906.86
  6. Step 6: Final answer
    x = 117,704.91

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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.