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Finding the Fourth Proportional to 120,190.66, 180,158.87 and 45,278.42

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Solution

The fourth proportional to 120,190.66, 180,158.87 and 45,278.42 is: 67,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190.66 : 180,158.87 = 45,278.42 : x
  2. Step 2: Convert to fraction form
    120,190.66/180,158.87 = 45,278.42/x
  3. Step 3: Cross multiply
    120,190.66x = 180,158.87 × 45,278.42
  4. Step 4: Simplify right side
    120,190.66x = 8,157,308,194.99
  5. Step 5: Solve for x
    x = 8,157,308,194.99/120,190.66
  6. Step 6: Final answer
    x = 67,869.74

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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.