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Finding the Fourth Proportional to 67,175.27, 100,728.13 and 19,784.20

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Solution

The fourth proportional to 67,175.27, 100,728.13 and 19,784.20 is: 29,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,175.27 : 100,728.13 = 19,784.20 : x
  2. Step 2: Convert to fraction form
    67,175.27/100,728.13 = 19,784.20/x
  3. Step 3: Cross multiply
    67,175.27x = 100,728.13 × 19,784.20
  4. Step 4: Simplify right side
    67,175.27x = 1,992,825,469.55
  5. Step 5: Solve for x
    x = 1,992,825,469.55/67,175.27
  6. Step 6: Final answer
    x = 29,666.06

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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.