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Finding the Fourth Proportional to 120,754.10, 181,194.94 and 87,747.01

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Solution

The fourth proportional to 120,754.10, 181,194.94 and 87,747.01 is: 131,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,754.10 : 181,194.94 = 87,747.01 : x
  2. Step 2: Convert to fraction form
    120,754.10/181,194.94 = 87,747.01/x
  3. Step 3: Cross multiply
    120,754.10x = 181,194.94 × 87,747.01
  4. Step 4: Simplify right side
    120,754.10x = 15,899,313,868.83
  5. Step 5: Solve for x
    x = 15,899,313,868.83/120,754.10
  6. Step 6: Final answer
    x = 131,666.86

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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.