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Finding the Fourth Proportional to 120,294.90, 180,484.20 and 53,728.56

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Solution

The fourth proportional to 120,294.90, 180,484.20 and 53,728.56 is: 80,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,294.90 : 180,484.20 = 53,728.56 : x
  2. Step 2: Convert to fraction form
    120,294.90/180,484.20 = 53,728.56/x
  3. Step 3: Cross multiply
    120,294.90x = 180,484.20 × 53,728.56
  4. Step 4: Simplify right side
    120,294.90x = 9,697,156,168.75
  5. Step 5: Solve for x
    x = 9,697,156,168.75/120,294.90
  6. Step 6: Final answer
    x = 80,611.53

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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.