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Finding the Fourth Proportional to 159,729.90, 220,498.11 and 103,168.86

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Solution

The fourth proportional to 159,729.90, 220,498.11 and 103,168.86 is: 142,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,729.90 : 220,498.11 = 103,168.86 : x
  2. Step 2: Convert to fraction form
    159,729.90/220,498.11 = 103,168.86/x
  3. Step 3: Cross multiply
    159,729.90x = 220,498.11 × 103,168.86
  4. Step 4: Simplify right side
    159,729.90x = 22,748,538,640.85
  5. Step 5: Solve for x
    x = 22,748,538,640.85/159,729.90
  6. Step 6: Final answer
    x = 142,418.79

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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.