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Finding the Fourth Proportional to 137,774.59, 206,469.41 and 74,458.20

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Solution

The fourth proportional to 137,774.59, 206,469.41 and 74,458.20 is: 111,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,774.59 : 206,469.41 = 74,458.20 : x
  2. Step 2: Convert to fraction form
    137,774.59/206,469.41 = 74,458.20/x
  3. Step 3: Cross multiply
    137,774.59x = 206,469.41 × 74,458.20
  4. Step 4: Simplify right side
    137,774.59x = 15,373,341,025.63
  5. Step 5: Solve for x
    x = 15,373,341,025.63/137,774.59
  6. Step 6: Final answer
    x = 111,583.28

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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.