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Finding the Fourth Proportional to 147,987, 204,226.92 and 80,919

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Solution

The fourth proportional to 147,987, 204,226.92 and 80,919 is: 111,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,987 : 204,226.92 = 80,919 : x
  2. Step 2: Convert to fraction form
    147,987/204,226.92 = 80,919/x
  3. Step 3: Cross multiply
    147,987x = 204,226.92 × 80,919
  4. Step 4: Simplify right side
    147,987x = 16,525,838,139.48
  5. Step 5: Solve for x
    x = 16,525,838,139.48/147,987
  6. Step 6: Final answer
    x = 111,670.88

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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.