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Finding the Fourth Proportional to 80,116.50, 120,174.60 and 30,207.80

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Solution

The fourth proportional to 80,116.50, 120,174.60 and 30,207.80 is: 45,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,116.50 : 120,174.60 = 30,207.80 : x
  2. Step 2: Convert to fraction form
    80,116.50/120,174.60 = 30,207.80/x
  3. Step 3: Cross multiply
    80,116.50x = 120,174.60 × 30,207.80
  4. Step 4: Simplify right side
    80,116.50x = 3,630,210,281.88
  5. Step 5: Solve for x
    x = 3,630,210,281.88/80,116.50
  6. Step 6: Final answer
    x = 45,311.64

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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.