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Finding the Fourth Proportional to 274,916.80, 412,245.78 and 106,516

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Solution

The fourth proportional to 274,916.80, 412,245.78 and 106,516 is: 159,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,916.80 : 412,245.78 = 106,516 : x
  2. Step 2: Convert to fraction form
    274,916.80/412,245.78 = 106,516/x
  3. Step 3: Cross multiply
    274,916.80x = 412,245.78 × 106,516
  4. Step 4: Simplify right side
    274,916.80x = 43,910,771,502.48
  5. Step 5: Solve for x
    x = 43,910,771,502.48/274,916.80
  6. Step 6: Final answer
    x = 159,723.86

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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.