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Finding the Fourth Proportional to 81,960.81, 122,916.92 and 35,202.75

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Solution

The fourth proportional to 81,960.81, 122,916.92 and 35,202.75 is: 52,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,960.81 : 122,916.92 = 35,202.75 : x
  2. Step 2: Convert to fraction form
    81,960.81/122,916.92 = 35,202.75/x
  3. Step 3: Cross multiply
    81,960.81x = 122,916.92 × 35,202.75
  4. Step 4: Simplify right side
    81,960.81x = 4,327,013,429.52
  5. Step 5: Solve for x
    x = 4,327,013,429.52/81,960.81
  6. Step 6: Final answer
    x = 52,793.69

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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.