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Finding the Fourth Proportional to 137,758.90, 206,244.15 and 84,811.90

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Solution

The fourth proportional to 137,758.90, 206,244.15 and 84,811.90 is: 126,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,758.90 : 206,244.15 = 84,811.90 : x
  2. Step 2: Convert to fraction form
    137,758.90/206,244.15 = 84,811.90/x
  3. Step 3: Cross multiply
    137,758.90x = 206,244.15 × 84,811.90
  4. Step 4: Simplify right side
    137,758.90x = 17,491,958,225.39
  5. Step 5: Solve for x
    x = 17,491,958,225.39/137,758.90
  6. Step 6: Final answer
    x = 126,975.16

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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.