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Finding the Fourth Proportional to 120,181.56, 180,447.54 and 85,306.20

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Solution

The fourth proportional to 120,181.56, 180,447.54 and 85,306.20 is: 128,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,181.56 : 180,447.54 = 85,306.20 : x
  2. Step 2: Convert to fraction form
    120,181.56/180,447.54 = 85,306.20/x
  3. Step 3: Cross multiply
    120,181.56x = 180,447.54 × 85,306.20
  4. Step 4: Simplify right side
    120,181.56x = 15,393,293,936.75
  5. Step 5: Solve for x
    x = 15,393,293,936.75/120,181.56
  6. Step 6: Final answer
    x = 128,083.66

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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.