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Finding the Fourth Proportional to 189,680.38, 284,536.97 and 49,439

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Solution

The fourth proportional to 189,680.38, 284,536.97 and 49,439 is: 74,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,680.38 : 284,536.97 = 49,439 : x
  2. Step 2: Convert to fraction form
    189,680.38/284,536.97 = 49,439/x
  3. Step 3: Cross multiply
    189,680.38x = 284,536.97 × 49,439
  4. Step 4: Simplify right side
    189,680.38x = 14,067,223,259.83
  5. Step 5: Solve for x
    x = 14,067,223,259.83/189,680.38
  6. Step 6: Final answer
    x = 74,162.77

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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.