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Finding the Fourth Proportional to 120,717.88, 181,076.85 and 45,838.09

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Solution

The fourth proportional to 120,717.88, 181,076.85 and 45,838.09 is: 68,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717.88 : 181,076.85 = 45,838.09 : x
  2. Step 2: Convert to fraction form
    120,717.88/181,076.85 = 45,838.09/x
  3. Step 3: Cross multiply
    120,717.88x = 181,076.85 × 45,838.09
  4. Step 4: Simplify right side
    120,717.88x = 8,300,216,947.22
  5. Step 5: Solve for x
    x = 8,300,216,947.22/120,717.88
  6. Step 6: Final answer
    x = 68,757.15

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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.