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Finding the Fourth Proportional to 138,633.80, 207,950.70 and 137,467.40

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Solution

The fourth proportional to 138,633.80, 207,950.70 and 137,467.40 is: 206,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,633.80 : 207,950.70 = 137,467.40 : x
  2. Step 2: Convert to fraction form
    138,633.80/207,950.70 = 137,467.40/x
  3. Step 3: Cross multiply
    138,633.80x = 207,950.70 × 137,467.40
  4. Step 4: Simplify right side
    138,633.80x = 28,586,442,057.18
  5. Step 5: Solve for x
    x = 28,586,442,057.18/138,633.80
  6. Step 6: Final answer
    x = 206,201.10

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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.