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Finding the Fourth Proportional to 295,170.57, 442,711.71 and 81,916

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Solution

The fourth proportional to 295,170.57, 442,711.71 and 81,916 is: 122,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,170.57 : 442,711.71 = 81,916 : x
  2. Step 2: Convert to fraction form
    295,170.57/442,711.71 = 81,916/x
  3. Step 3: Cross multiply
    295,170.57x = 442,711.71 × 81,916
  4. Step 4: Simplify right side
    295,170.57x = 36,265,172,436.36
  5. Step 5: Solve for x
    x = 36,265,172,436.36/295,170.57
  6. Step 6: Final answer
    x = 122,861.75

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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.