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Finding the Fourth Proportional to 69,893.92, 96,451.84 and 40,084

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Solution

The fourth proportional to 69,893.92, 96,451.84 and 40,084 is: 55,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,893.92 : 96,451.84 = 40,084 : x
  2. Step 2: Convert to fraction form
    69,893.92/96,451.84 = 40,084/x
  3. Step 3: Cross multiply
    69,893.92x = 96,451.84 × 40,084
  4. Step 4: Simplify right side
    69,893.92x = 3,866,175,554.56
  5. Step 5: Solve for x
    x = 3,866,175,554.56/69,893.92
  6. Step 6: Final answer
    x = 55,314.91

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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.