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Finding the Fourth Proportional to 263,138.10, 394,710.84 and 85,646.04

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Solution

The fourth proportional to 263,138.10, 394,710.84 and 85,646.04 is: 128,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138.10 : 394,710.84 = 85,646.04 : x
  2. Step 2: Convert to fraction form
    263,138.10/394,710.84 = 85,646.04/x
  3. Step 3: Cross multiply
    263,138.10x = 394,710.84 × 85,646.04
  4. Step 4: Simplify right side
    263,138.10x = 33,805,420,391.07
  5. Step 5: Solve for x
    x = 33,805,420,391.07/263,138.10
  6. Step 6: Final answer
    x = 128,470.26

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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.