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Finding the Fourth Proportional to 120,944, 181,396.56 and 85,777.04

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Solution

The fourth proportional to 120,944, 181,396.56 and 85,777.04 is: 128,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,944 : 181,396.56 = 85,777.04 : x
  2. Step 2: Convert to fraction form
    120,944/181,396.56 = 85,777.04/x
  3. Step 3: Cross multiply
    120,944x = 181,396.56 × 85,777.04
  4. Step 4: Simplify right side
    120,944x = 15,559,659,982.98
  5. Step 5: Solve for x
    x = 15,559,659,982.98/120,944
  6. Step 6: Final answer
    x = 128,651.77

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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.