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Finding the Fourth Proportional to 100,469.50, 138,647.91 and 55,757.50

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Solution

The fourth proportional to 100,469.50, 138,647.91 and 55,757.50 is: 76,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,469.50 : 138,647.91 = 55,757.50 : x
  2. Step 2: Convert to fraction form
    100,469.50/138,647.91 = 55,757.50/x
  3. Step 3: Cross multiply
    100,469.50x = 138,647.91 × 55,757.50
  4. Step 4: Simplify right side
    100,469.50x = 7,730,660,841.83
  5. Step 5: Solve for x
    x = 7,730,660,841.83/100,469.50
  6. Step 6: Final answer
    x = 76,945.35

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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.