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Finding the Fourth Proportional to 100,122.50, 138,169.13 and 54,800.44

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Solution

The fourth proportional to 100,122.50, 138,169.13 and 54,800.44 is: 75,624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122.50 : 138,169.13 = 54,800.44 : x
  2. Step 2: Convert to fraction form
    100,122.50/138,169.13 = 54,800.44/x
  3. Step 3: Cross multiply
    100,122.50x = 138,169.13 × 54,800.44
  4. Step 4: Simplify right side
    100,122.50x = 7,571,728,498.99
  5. Step 5: Solve for x
    x = 7,571,728,498.99/100,122.50
  6. Step 6: Final answer
    x = 75,624.64

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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.