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Finding the Fourth Proportional to 120,869.64, 181,303.11 and 73,497.78

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Solution

The fourth proportional to 120,869.64, 181,303.11 and 73,497.78 is: 110,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,869.64 : 181,303.11 = 73,497.78 : x
  2. Step 2: Convert to fraction form
    120,869.64/181,303.11 = 73,497.78/x
  3. Step 3: Cross multiply
    120,869.64x = 181,303.11 × 73,497.78
  4. Step 4: Simplify right side
    120,869.64x = 13,325,376,092.10
  5. Step 5: Solve for x
    x = 13,325,376,092.10/120,869.64
  6. Step 6: Final answer
    x = 110,245.85

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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.