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Finding the Fourth Proportional to 137,440.66, 206,207.12 and 74,266.44

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Solution

The fourth proportional to 137,440.66, 206,207.12 and 74,266.44 is: 111,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,440.66 : 206,207.12 = 74,266.44 : x
  2. Step 2: Convert to fraction form
    137,440.66/206,207.12 = 74,266.44/x
  3. Step 3: Cross multiply
    137,440.66x = 206,207.12 × 74,266.44
  4. Step 4: Simplify right side
    137,440.66x = 15,314,268,705.05
  5. Step 5: Solve for x
    x = 15,314,268,705.05/137,440.66
  6. Step 6: Final answer
    x = 111,424.59

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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.