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Finding the Fourth Proportional to 137,988.74, 206,984.46 and 75,625.22

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Solution

The fourth proportional to 137,988.74, 206,984.46 and 75,625.22 is: 113,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,988.74 : 206,984.46 = 75,625.22 : x
  2. Step 2: Convert to fraction form
    137,988.74/206,984.46 = 75,625.22/x
  3. Step 3: Cross multiply
    137,988.74x = 206,984.46 × 75,625.22
  4. Step 4: Simplify right side
    137,988.74x = 15,653,245,324.08
  5. Step 5: Solve for x
    x = 15,653,245,324.08/137,988.74
  6. Step 6: Final answer
    x = 113,438.57

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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.