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Finding the Fourth Proportional to 311,098.78, 466,721.97 and 100,736.38

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Solution

The fourth proportional to 311,098.78, 466,721.97 and 100,736.38 is: 151,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,098.78 : 466,721.97 = 100,736.38 : x
  2. Step 2: Convert to fraction form
    311,098.78/466,721.97 = 100,736.38/x
  3. Step 3: Cross multiply
    311,098.78x = 466,721.97 × 100,736.38
  4. Step 4: Simplify right side
    311,098.78x = 47,015,881,724.27
  5. Step 5: Solve for x
    x = 47,015,881,724.27/311,098.78
  6. Step 6: Final answer
    x = 151,128.47

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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.