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Finding the Fourth Proportional to 121,872.45, 182,872.42 and 49,878.80

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Solution

The fourth proportional to 121,872.45, 182,872.42 and 49,878.80 is: 74,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,872.45 : 182,872.42 = 49,878.80 : x
  2. Step 2: Convert to fraction form
    121,872.45/182,872.42 = 49,878.80/x
  3. Step 3: Cross multiply
    121,872.45x = 182,872.42 × 49,878.80
  4. Step 4: Simplify right side
    121,872.45x = 9,121,456,977.00
  5. Step 5: Solve for x
    x = 9,121,456,977.00/121,872.45
  6. Step 6: Final answer
    x = 74,844.29

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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.