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Finding the Fourth Proportional to 196,474.87, 294,711.92 and 54,319.78

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Solution

The fourth proportional to 196,474.87, 294,711.92 and 54,319.78 is: 81,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,474.87 : 294,711.92 = 54,319.78 : x
  2. Step 2: Convert to fraction form
    196,474.87/294,711.92 = 54,319.78/x
  3. Step 3: Cross multiply
    196,474.87x = 294,711.92 × 54,319.78
  4. Step 4: Simplify right side
    196,474.87x = 16,008,687,579.93
  5. Step 5: Solve for x
    x = 16,008,687,579.93/196,474.87
  6. Step 6: Final answer
    x = 81,479.57

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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.