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Finding the Fourth Proportional to 137,851.74, 206,778.69 and 75,488.22

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Solution

The fourth proportional to 137,851.74, 206,778.69 and 75,488.22 is: 113,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,851.74 : 206,778.69 = 75,488.22 : x
  2. Step 2: Convert to fraction form
    137,851.74/206,778.69 = 75,488.22/x
  3. Step 3: Cross multiply
    137,851.74x = 206,778.69 × 75,488.22
  4. Step 4: Simplify right side
    137,851.74x = 15,609,355,242.03
  5. Step 5: Solve for x
    x = 15,609,355,242.03/137,851.74
  6. Step 6: Final answer
    x = 113,232.92

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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.