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Finding the Fourth Proportional to 100,449, 138,625.86 and 66,398.43

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Solution

The fourth proportional to 100,449, 138,625.86 and 66,398.43 is: 91,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,449 : 138,625.86 = 66,398.43 : x
  2. Step 2: Convert to fraction form
    100,449/138,625.86 = 66,398.43/x
  3. Step 3: Cross multiply
    100,449x = 138,625.86 × 66,398.43
  4. Step 4: Simplify right side
    100,449x = 9,204,539,461.40
  5. Step 5: Solve for x
    x = 9,204,539,461.40/100,449
  6. Step 6: Final answer
    x = 91,633.96

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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.