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Finding the Fourth Proportional to 85,057.78, 117,126.37 and 83,169.76

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Solution

The fourth proportional to 85,057.78, 117,126.37 and 83,169.76 is: 114,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,057.78 : 117,126.37 = 83,169.76 : x
  2. Step 2: Convert to fraction form
    85,057.78/117,126.37 = 83,169.76/x
  3. Step 3: Cross multiply
    85,057.78x = 117,126.37 × 83,169.76
  4. Step 4: Simplify right side
    85,057.78x = 9,741,372,082.57
  5. Step 5: Solve for x
    x = 9,741,372,082.57/85,057.78
  6. Step 6: Final answer
    x = 114,526.53

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1.5x scale

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.