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Finding the Fourth Proportional to 85,754.25, 128,640.29 and 23,424.75

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Solution

The fourth proportional to 85,754.25, 128,640.29 and 23,424.75 is: 35,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,754.25 : 128,640.29 = 23,424.75 : x
  2. Step 2: Convert to fraction form
    85,754.25/128,640.29 = 23,424.75/x
  3. Step 3: Cross multiply
    85,754.25x = 128,640.29 × 23,424.75
  4. Step 4: Simplify right side
    85,754.25x = 3,013,366,516.05
  5. Step 5: Solve for x
    x = 3,013,366,516.05/85,754.25
  6. Step 6: Final answer
    x = 35,139.56

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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.