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Finding the Fourth Proportional to 20,500, 30,755.76 and 10,108.96

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Solution

The fourth proportional to 20,500, 30,755.76 and 10,108.96 is: 15,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500 : 30,755.76 = 10,108.96 : x
  2. Step 2: Convert to fraction form
    20,500/30,755.76 = 10,108.96/x
  3. Step 3: Cross multiply
    20,500x = 30,755.76 × 10,108.96
  4. Step 4: Simplify right side
    20,500x = 310,908,747.61
  5. Step 5: Solve for x
    x = 310,908,747.61/20,500
  6. Step 6: Final answer
    x = 15,166.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.