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Finding the Fourth Proportional to 120,725.70, 181,080.45 and 31,977.30

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Solution

The fourth proportional to 120,725.70, 181,080.45 and 31,977.30 is: 47,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,725.70 : 181,080.45 = 31,977.30 : x
  2. Step 2: Convert to fraction form
    120,725.70/181,080.45 = 31,977.30/x
  3. Step 3: Cross multiply
    120,725.70x = 181,080.45 × 31,977.30
  4. Step 4: Simplify right side
    120,725.70x = 5,790,463,873.79
  5. Step 5: Solve for x
    x = 5,790,463,873.79/120,725.70
  6. Step 6: Final answer
    x = 47,963.80

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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.