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Finding the Fourth Proportional to 100,645.48, 138,867.78 and 58,196.44

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Solution

The fourth proportional to 100,645.48, 138,867.78 and 58,196.44 is: 80,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,645.48 : 138,867.78 = 58,196.44 : x
  2. Step 2: Convert to fraction form
    100,645.48/138,867.78 = 58,196.44/x
  3. Step 3: Cross multiply
    100,645.48x = 138,867.78 × 58,196.44
  4. Step 4: Simplify right side
    100,645.48x = 8,081,610,426.70
  5. Step 5: Solve for x
    x = 8,081,610,426.70/100,645.48
  6. Step 6: Final answer
    x = 80,297.80

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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.