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Finding the Fourth Proportional to 199,082.86, 274,732 and 108,438.54

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Solution

The fourth proportional to 199,082.86, 274,732 and 108,438.54 is: 149,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,082.86 : 274,732 = 108,438.54 : x
  2. Step 2: Convert to fraction form
    199,082.86/274,732 = 108,438.54/x
  3. Step 3: Cross multiply
    199,082.86x = 274,732 × 108,438.54
  4. Step 4: Simplify right side
    199,082.86x = 29,791,536,971.28
  5. Step 5: Solve for x
    x = 29,791,536,971.28/199,082.86
  6. Step 6: Final answer
    x = 149,643.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.