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Finding the Fourth Proportional to 71,678.28, 98,916.72 and 39,414.56

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Solution

The fourth proportional to 71,678.28, 98,916.72 and 39,414.56 is: 54,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.28 : 98,916.72 = 39,414.56 : x
  2. Step 2: Convert to fraction form
    71,678.28/98,916.72 = 39,414.56/x
  3. Step 3: Cross multiply
    71,678.28x = 98,916.72 × 39,414.56
  4. Step 4: Simplify right side
    71,678.28x = 3,898,758,995.44
  5. Step 5: Solve for x
    x = 3,898,758,995.44/71,678.28
  6. Step 6: Final answer
    x = 54,392.47

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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.