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Finding the Fourth Proportional to 67,000.64, 100,451.75 and 31,964.90

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Solution

The fourth proportional to 67,000.64, 100,451.75 and 31,964.90 is: 47,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,000.64 : 100,451.75 = 31,964.90 : x
  2. Step 2: Convert to fraction form
    67,000.64/100,451.75 = 31,964.90/x
  3. Step 3: Cross multiply
    67,000.64x = 100,451.75 × 31,964.90
  4. Step 4: Simplify right side
    67,000.64x = 3,210,929,481.49
  5. Step 5: Solve for x
    x = 3,210,929,481.49/67,000.64
  6. Step 6: Final answer
    x = 47,923.87

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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.