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Finding the Fourth Proportional to 159,608.26, 220,261.84 and 87,011.20

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Solution

The fourth proportional to 159,608.26, 220,261.84 and 87,011.20 is: 120,076.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,608.26 : 220,261.84 = 87,011.20 : x
  2. Step 2: Convert to fraction form
    159,608.26/220,261.84 = 87,011.20/x
  3. Step 3: Cross multiply
    159,608.26x = 220,261.84 × 87,011.20
  4. Step 4: Simplify right side
    159,608.26x = 19,165,246,244.43
  5. Step 5: Solve for x
    x = 19,165,246,244.43/159,608.26
  6. Step 6: Final answer
    x = 120,076.78

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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.