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Finding the Fourth Proportional to 120,764.80, 181,147.20 and 78,774.40

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Solution

The fourth proportional to 120,764.80, 181,147.20 and 78,774.40 is: 118,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,764.80 : 181,147.20 = 78,774.40 : x
  2. Step 2: Convert to fraction form
    120,764.80/181,147.20 = 78,774.40/x
  3. Step 3: Cross multiply
    120,764.80x = 181,147.20 × 78,774.40
  4. Step 4: Simplify right side
    120,764.80x = 14,269,761,991.68
  5. Step 5: Solve for x
    x = 14,269,761,991.68/120,764.80
  6. Step 6: Final answer
    x = 118,161.60

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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.