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Finding the Fourth Proportional to 100,429.88, 138,593.23 and 55,717.88

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Solution

The fourth proportional to 100,429.88, 138,593.23 and 55,717.88 is: 76,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,429.88 : 138,593.23 = 55,717.88 : x
  2. Step 2: Convert to fraction form
    100,429.88/138,593.23 = 55,717.88/x
  3. Step 3: Cross multiply
    100,429.88x = 138,593.23 × 55,717.88
  4. Step 4: Simplify right side
    100,429.88x = 7,722,120,125.69
  5. Step 5: Solve for x
    x = 7,722,120,125.69/100,429.88
  6. Step 6: Final answer
    x = 76,890.67

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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.