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Finding the Fourth Proportional to 109,228.62, 150,760.08 and 71,481

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Solution

The fourth proportional to 109,228.62, 150,760.08 and 71,481 is: 98,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,228.62 : 150,760.08 = 71,481 : x
  2. Step 2: Convert to fraction form
    109,228.62/150,760.08 = 71,481/x
  3. Step 3: Cross multiply
    109,228.62x = 150,760.08 × 71,481
  4. Step 4: Simplify right side
    109,228.62x = 10,776,481,278.48
  5. Step 5: Solve for x
    x = 10,776,481,278.48/109,228.62
  6. Step 6: Final answer
    x = 98,659.87

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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.