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Finding the Fourth Proportional to 85,040.82, 117,399.24 and 65,877.84

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Solution

The fourth proportional to 85,040.82, 117,399.24 and 65,877.84 is: 90,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,040.82 : 117,399.24 = 65,877.84 : x
  2. Step 2: Convert to fraction form
    85,040.82/117,399.24 = 65,877.84/x
  3. Step 3: Cross multiply
    85,040.82x = 117,399.24 × 65,877.84
  4. Step 4: Simplify right side
    85,040.82x = 7,734,008,348.84
  5. Step 5: Solve for x
    x = 7,734,008,348.84/85,040.82
  6. Step 6: Final answer
    x = 90,944.66

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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.