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Finding the Fourth Proportional to 48,228, 72,342 and 21,940.26

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Solution

The fourth proportional to 48,228, 72,342 and 21,940.26 is: 32,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,228 : 72,342 = 21,940.26 : x
  2. Step 2: Convert to fraction form
    48,228/72,342 = 21,940.26/x
  3. Step 3: Cross multiply
    48,228x = 72,342 × 21,940.26
  4. Step 4: Simplify right side
    48,228x = 1,587,202,288.92
  5. Step 5: Solve for x
    x = 1,587,202,288.92/48,228
  6. Step 6: Final answer
    x = 32,910.39

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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.