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Finding the Fourth Proportional to 100,043.44, 137,924.84 and 64,171.17

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Solution

The fourth proportional to 100,043.44, 137,924.84 and 64,171.17 is: 88,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,043.44 : 137,924.84 = 64,171.17 : x
  2. Step 2: Convert to fraction form
    100,043.44/137,924.84 = 64,171.17/x
  3. Step 3: Cross multiply
    100,043.44x = 137,924.84 × 64,171.17
  4. Step 4: Simplify right side
    100,043.44x = 8,850,798,034.01
  5. Step 5: Solve for x
    x = 8,850,798,034.01/100,043.44
  6. Step 6: Final answer
    x = 88,469.55

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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.