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Finding the Fourth Proportional to 100,221.72, 138,398.94 and 75,027.48

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Solution

The fourth proportional to 100,221.72, 138,398.94 and 75,027.48 is: 103,607.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,221.72 : 138,398.94 = 75,027.48 : x
  2. Step 2: Convert to fraction form
    100,221.72/138,398.94 = 75,027.48/x
  3. Step 3: Cross multiply
    100,221.72x = 138,398.94 × 75,027.48
  4. Step 4: Simplify right side
    100,221.72x = 10,383,723,702.87
  5. Step 5: Solve for x
    x = 10,383,723,702.87/100,221.72
  6. Step 6: Final answer
    x = 103,607.52

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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.