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Finding the Fourth Proportional to 160,978.32, 222,145.97 and 88,380.86

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Solution

The fourth proportional to 160,978.32, 222,145.97 and 88,380.86 is: 121,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.32 : 222,145.97 = 88,380.86 : x
  2. Step 2: Convert to fraction form
    160,978.32/222,145.97 = 88,380.86/x
  3. Step 3: Cross multiply
    160,978.32x = 222,145.97 × 88,380.86
  4. Step 4: Simplify right side
    160,978.32x = 19,633,451,874.13
  5. Step 5: Solve for x
    x = 19,633,451,874.13/160,978.32
  6. Step 6: Final answer
    x = 121,963.33

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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.