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Finding the Fourth Proportional to 100,396.76, 138,537.26 and 60,109.48

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Solution

The fourth proportional to 100,396.76, 138,537.26 and 60,109.48 is: 82,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,396.76 : 138,537.26 = 60,109.48 : x
  2. Step 2: Convert to fraction form
    100,396.76/138,537.26 = 60,109.48/x
  3. Step 3: Cross multiply
    100,396.76x = 138,537.26 × 60,109.48
  4. Step 4: Simplify right side
    100,396.76x = 8,327,401,966.54
  5. Step 5: Solve for x
    x = 8,327,401,966.54/100,396.76
  6. Step 6: Final answer
    x = 82,944.93

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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.