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Finding the Fourth Proportional to 85,334.28, 127,816.54 and 61,909

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Solution

The fourth proportional to 85,334.28, 127,816.54 and 61,909 is: 92,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,334.28 : 127,816.54 = 61,909 : x
  2. Step 2: Convert to fraction form
    85,334.28/127,816.54 = 61,909/x
  3. Step 3: Cross multiply
    85,334.28x = 127,816.54 × 61,909
  4. Step 4: Simplify right side
    85,334.28x = 7,912,994,174.86
  5. Step 5: Solve for x
    x = 7,912,994,174.86/85,334.28
  6. Step 6: Final answer
    x = 92,729.37

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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.