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Finding the Fourth Proportional to 120,874.20, 181,311.30 and 76,356.60

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Solution

The fourth proportional to 120,874.20, 181,311.30 and 76,356.60 is: 114,534.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.20 : 181,311.30 = 76,356.60 : x
  2. Step 2: Convert to fraction form
    120,874.20/181,311.30 = 76,356.60/x
  3. Step 3: Cross multiply
    120,874.20x = 181,311.30 × 76,356.60
  4. Step 4: Simplify right side
    120,874.20x = 13,844,314,409.58
  5. Step 5: Solve for x
    x = 13,844,314,409.58/120,874.20
  6. Step 6: Final answer
    x = 114,534.90

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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.