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Finding the Fourth Proportional to 137,998.80, 206,998.20 and 120,502.80

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Solution

The fourth proportional to 137,998.80, 206,998.20 and 120,502.80 is: 180,754.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,998.80 : 206,998.20 = 120,502.80 : x
  2. Step 2: Convert to fraction form
    137,998.80/206,998.20 = 120,502.80/x
  3. Step 3: Cross multiply
    137,998.80x = 206,998.20 × 120,502.80
  4. Step 4: Simplify right side
    137,998.80x = 24,943,862,694.96
  5. Step 5: Solve for x
    x = 24,943,862,694.96/137,998.80
  6. Step 6: Final answer
    x = 180,754.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.