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Finding the Fourth Proportional to 100,169.57, 138,232.71 and 57,147.94

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Solution

The fourth proportional to 100,169.57, 138,232.71 and 57,147.94 is: 78,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,169.57 : 138,232.71 = 57,147.94 : x
  2. Step 2: Convert to fraction form
    100,169.57/138,232.71 = 57,147.94/x
  3. Step 3: Cross multiply
    100,169.57x = 138,232.71 × 57,147.94
  4. Step 4: Simplify right side
    100,169.57x = 7,899,714,789.91
  5. Step 5: Solve for x
    x = 7,899,714,789.91/100,169.57
  6. Step 6: Final answer
    x = 78,863.42

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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.