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Finding the Fourth Proportional to 138,712.80, 208,069.26 and 33,531.78

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Solution

The fourth proportional to 138,712.80, 208,069.26 and 33,531.78 is: 50,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,712.80 : 208,069.26 = 33,531.78 : x
  2. Step 2: Convert to fraction form
    138,712.80/208,069.26 = 33,531.78/x
  3. Step 3: Cross multiply
    138,712.80x = 208,069.26 × 33,531.78
  4. Step 4: Simplify right side
    138,712.80x = 6,976,932,651.08
  5. Step 5: Solve for x
    x = 6,976,932,651.08/138,712.80
  6. Step 6: Final answer
    x = 50,297.68

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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.