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Finding the Fourth Proportional to 120,121.20, 180,181.80 and 75,943.80

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Solution

The fourth proportional to 120,121.20, 180,181.80 and 75,943.80 is: 113,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,121.20 : 180,181.80 = 75,943.80 : x
  2. Step 2: Convert to fraction form
    120,121.20/180,181.80 = 75,943.80/x
  3. Step 3: Cross multiply
    120,121.20x = 180,181.80 × 75,943.80
  4. Step 4: Simplify right side
    120,121.20x = 13,683,690,582.84
  5. Step 5: Solve for x
    x = 13,683,690,582.84/120,121.20
  6. Step 6: Final answer
    x = 113,915.70

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1.5x scale

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.