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Finding the Fourth Proportional to 137,269.80, 205,980.84 and 67,149.72

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Solution

The fourth proportional to 137,269.80, 205,980.84 and 67,149.72 is: 100,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,269.80 : 205,980.84 = 67,149.72 : x
  2. Step 2: Convert to fraction form
    137,269.80/205,980.84 = 67,149.72/x
  3. Step 3: Cross multiply
    137,269.80x = 205,980.84 × 67,149.72
  4. Step 4: Simplify right side
    137,269.80x = 13,831,555,731.36
  5. Step 5: Solve for x
    x = 13,831,555,731.36/137,269.80
  6. Step 6: Final answer
    x = 100,761.83

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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.