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Finding the Fourth Proportional to 100,289.88, 138,401.66 and 54,972.20

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Solution

The fourth proportional to 100,289.88, 138,401.66 and 54,972.20 is: 75,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,289.88 : 138,401.66 = 54,972.20 : x
  2. Step 2: Convert to fraction form
    100,289.88/138,401.66 = 54,972.20/x
  3. Step 3: Cross multiply
    100,289.88x = 138,401.66 × 54,972.20
  4. Step 4: Simplify right side
    100,289.88x = 7,608,244,217.29
  5. Step 5: Solve for x
    x = 7,608,244,217.29/100,289.88
  6. Step 6: Final answer
    x = 75,862.53

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1.5x scale

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.