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Finding the Fourth Proportional to 137,344.39, 206,014.66 and 83,321.94

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Solution

The fourth proportional to 137,344.39, 206,014.66 and 83,321.94 is: 124,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,344.39 : 206,014.66 = 83,321.94 : x
  2. Step 2: Convert to fraction form
    137,344.39/206,014.66 = 83,321.94/x
  3. Step 3: Cross multiply
    137,344.39x = 206,014.66 × 83,321.94
  4. Step 4: Simplify right side
    137,344.39x = 17,165,541,626.15
  5. Step 5: Solve for x
    x = 17,165,541,626.15/137,344.39
  6. Step 6: Final answer
    x = 124,981.75

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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.