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Finding the Fourth Proportional to 137,797.31, 206,734.86 and 54,749.63

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Solution

The fourth proportional to 137,797.31, 206,734.86 and 54,749.63 is: 82,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.31 : 206,734.86 = 54,749.63 : x
  2. Step 2: Convert to fraction form
    137,797.31/206,734.86 = 54,749.63/x
  3. Step 3: Cross multiply
    137,797.31x = 206,734.86 × 54,749.63
  4. Step 4: Simplify right side
    137,797.31x = 11,318,657,093.10
  5. Step 5: Solve for x
    x = 11,318,657,093.10/137,797.31
  6. Step 6: Final answer
    x = 82,139.90

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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.