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Finding the Fourth Proportional to 160,106.76, 220,781.16 and 137,520

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Solution

The fourth proportional to 160,106.76, 220,781.16 and 137,520 is: 189,634.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,106.76 : 220,781.16 = 137,520 : x
  2. Step 2: Convert to fraction form
    160,106.76/220,781.16 = 137,520/x
  3. Step 3: Cross multiply
    160,106.76x = 220,781.16 × 137,520
  4. Step 4: Simplify right side
    160,106.76x = 30,361,825,123.20
  5. Step 5: Solve for x
    x = 30,361,825,123.20/160,106.76
  6. Step 6: Final answer
    x = 189,634.87

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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.