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Finding the Fourth Proportional to 120,174.75, 180,261.90 and 45,311.70

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Solution

The fourth proportional to 120,174.75, 180,261.90 and 45,311.70 is: 67,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,174.75 : 180,261.90 = 45,311.70 : x
  2. Step 2: Convert to fraction form
    120,174.75/180,261.90 = 45,311.70/x
  3. Step 3: Cross multiply
    120,174.75x = 180,261.90 × 45,311.70
  4. Step 4: Simplify right side
    120,174.75x = 8,167,973,134.23
  5. Step 5: Solve for x
    x = 8,167,973,134.23/120,174.75
  6. Step 6: Final answer
    x = 67,967.47

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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.