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Finding the Fourth Proportional to 120,892.48, 181,291.22 and 40,908.42

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Solution

The fourth proportional to 120,892.48, 181,291.22 and 40,908.42 is: 61,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,892.48 : 181,291.22 = 40,908.42 : x
  2. Step 2: Convert to fraction form
    120,892.48/181,291.22 = 40,908.42/x
  3. Step 3: Cross multiply
    120,892.48x = 181,291.22 × 40,908.42
  4. Step 4: Simplify right side
    120,892.48x = 7,416,337,165.53
  5. Step 5: Solve for x
    x = 7,416,337,165.53/120,892.48
  6. Step 6: Final answer
    x = 61,346.56

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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.