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Finding the Fourth Proportional to 138,188.72, 206,205.34 and 123,295.28

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Solution

The fourth proportional to 138,188.72, 206,205.34 and 123,295.28 is: 183,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,188.72 : 206,205.34 = 123,295.28 : x
  2. Step 2: Convert to fraction form
    138,188.72/206,205.34 = 123,295.28/x
  3. Step 3: Cross multiply
    138,188.72x = 206,205.34 × 123,295.28
  4. Step 4: Simplify right side
    138,188.72x = 25,424,145,132.80
  5. Step 5: Solve for x
    x = 25,424,145,132.80/138,188.72
  6. Step 6: Final answer
    x = 183,981.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.