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Finding the Fourth Proportional to 156,704.16, 216,251.52 and 85,086

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Solution

The fourth proportional to 156,704.16, 216,251.52 and 85,086 is: 117,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,704.16 : 216,251.52 = 85,086 : x
  2. Step 2: Convert to fraction form
    156,704.16/216,251.52 = 85,086/x
  3. Step 3: Cross multiply
    156,704.16x = 216,251.52 × 85,086
  4. Step 4: Simplify right side
    156,704.16x = 18,399,976,830.72
  5. Step 5: Solve for x
    x = 18,399,976,830.72/156,704.16
  6. Step 6: Final answer
    x = 117,418.56

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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.