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Finding the Fourth Proportional to 137,149.46, 188,845.69 and 120,058.05

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Solution

The fourth proportional to 137,149.46, 188,845.69 and 120,058.05 is: 165,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.46 : 188,845.69 = 120,058.05 : x
  2. Step 2: Convert to fraction form
    137,149.46/188,845.69 = 120,058.05/x
  3. Step 3: Cross multiply
    137,149.46x = 188,845.69 × 120,058.05
  4. Step 4: Simplify right side
    137,149.46x = 22,672,445,292.30
  5. Step 5: Solve for x
    x = 22,672,445,292.30/137,149.46
  6. Step 6: Final answer
    x = 165,311.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.