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Finding the Fourth Proportional to 137,380.45, 206,129.94 and 74,188

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Solution

The fourth proportional to 137,380.45, 206,129.94 and 74,188 is: 111,314.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,380.45 : 206,129.94 = 74,188 : x
  2. Step 2: Convert to fraction form
    137,380.45/206,129.94 = 74,188/x
  3. Step 3: Cross multiply
    137,380.45x = 206,129.94 × 74,188
  4. Step 4: Simplify right side
    137,380.45x = 15,292,367,988.72
  5. Step 5: Solve for x
    x = 15,292,367,988.72/137,380.45
  6. Step 6: Final answer
    x = 111,314.00

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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.