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Finding the Fourth Proportional to 159,074.88, 219,523.86 and 87,456.12

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Solution

The fourth proportional to 159,074.88, 219,523.86 and 87,456.12 is: 120,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,074.88 : 219,523.86 = 87,456.12 : x
  2. Step 2: Convert to fraction form
    159,074.88/219,523.86 = 87,456.12/x
  3. Step 3: Cross multiply
    159,074.88x = 219,523.86 × 87,456.12
  4. Step 4: Simplify right side
    159,074.88x = 19,198,705,043.02
  5. Step 5: Solve for x
    x = 19,198,705,043.02/159,074.88
  6. Step 6: Final answer
    x = 120,689.73

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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.