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Finding the Fourth Proportional to 137,761.37, 206,444.91 and 78,474.54

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Solution

The fourth proportional to 137,761.37, 206,444.91 and 78,474.54 is: 117,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,761.37 : 206,444.91 = 78,474.54 : x
  2. Step 2: Convert to fraction form
    137,761.37/206,444.91 = 78,474.54/x
  3. Step 3: Cross multiply
    137,761.37x = 206,444.91 × 78,474.54
  4. Step 4: Simplify right side
    137,761.37x = 16,200,669,347.59
  5. Step 5: Solve for x
    x = 16,200,669,347.59/137,761.37
  6. Step 6: Final answer
    x = 117,599.51

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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.