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Finding the Fourth Proportional to 97,662, 134,769.82 and 55,221.42

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Solution

The fourth proportional to 97,662, 134,769.82 and 55,221.42 is: 76,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,662 : 134,769.82 = 55,221.42 : x
  2. Step 2: Convert to fraction form
    97,662/134,769.82 = 55,221.42/x
  3. Step 3: Cross multiply
    97,662x = 134,769.82 × 55,221.42
  4. Step 4: Simplify right side
    97,662x = 7,442,180,833.54
  5. Step 5: Solve for x
    x = 7,442,180,833.54/97,662
  6. Step 6: Final answer
    x = 76,203.44

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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.