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Finding the Fourth Proportional to 85,610.54, 118,255.43 and 65,713.29

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Solution

The fourth proportional to 85,610.54, 118,255.43 and 65,713.29 is: 90,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,610.54 : 118,255.43 = 65,713.29 : x
  2. Step 2: Convert to fraction form
    85,610.54/118,255.43 = 65,713.29/x
  3. Step 3: Cross multiply
    85,610.54x = 118,255.43 × 65,713.29
  4. Step 4: Simplify right side
    85,610.54x = 7,770,953,037.10
  5. Step 5: Solve for x
    x = 7,770,953,037.10/85,610.54
  6. Step 6: Final answer
    x = 90,770.99

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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.