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Finding the Fourth Proportional to 100,197.91, 138,273.11 and 54,876.00

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Solution

The fourth proportional to 100,197.91, 138,273.11 and 54,876.00 is: 75,728.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197.91 : 138,273.11 = 54,876.00 : x
  2. Step 2: Convert to fraction form
    100,197.91/138,273.11 = 54,876.00/x
  3. Step 3: Cross multiply
    100,197.91x = 138,273.11 × 54,876.00
  4. Step 4: Simplify right side
    100,197.91x = 7,587,874,492.99
  5. Step 5: Solve for x
    x = 7,587,874,492.99/100,197.91
  6. Step 6: Final answer
    x = 75,728.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.