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Finding the Fourth Proportional to 85,351.68, 128,029.86 and 23,022

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Solution

The fourth proportional to 85,351.68, 128,029.86 and 23,022 is: 34,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,351.68 : 128,029.86 = 23,022 : x
  2. Step 2: Convert to fraction form
    85,351.68/128,029.86 = 23,022/x
  3. Step 3: Cross multiply
    85,351.68x = 128,029.86 × 23,022
  4. Step 4: Simplify right side
    85,351.68x = 2,947,503,436.92
  5. Step 5: Solve for x
    x = 2,947,503,436.92/85,351.68
  6. Step 6: Final answer
    x = 34,533.63

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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.