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Finding the Fourth Proportional to 159,990, 220,786.20 and 89,334

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Solution

The fourth proportional to 159,990, 220,786.20 and 89,334 is: 123,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,990 : 220,786.20 = 89,334 : x
  2. Step 2: Convert to fraction form
    159,990/220,786.20 = 89,334/x
  3. Step 3: Cross multiply
    159,990x = 220,786.20 × 89,334
  4. Step 4: Simplify right side
    159,990x = 19,723,714,390.80
  5. Step 5: Solve for x
    x = 19,723,714,390.80/159,990
  6. Step 6: Final answer
    x = 123,280.92

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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.