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Finding the Fourth Proportional to 120,864.60, 181,296.90 and 78,874.20

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Solution

The fourth proportional to 120,864.60, 181,296.90 and 78,874.20 is: 118,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864.60 : 181,296.90 = 78,874.20 : x
  2. Step 2: Convert to fraction form
    120,864.60/181,296.90 = 78,874.20/x
  3. Step 3: Cross multiply
    120,864.60x = 181,296.90 × 78,874.20
  4. Step 4: Simplify right side
    120,864.60x = 14,299,647,949.98
  5. Step 5: Solve for x
    x = 14,299,647,949.98/120,864.60
  6. Step 6: Final answer
    x = 118,311.30

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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.