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Finding the Fourth Proportional to 48,488, 66,914.25 and 31,721

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Solution

The fourth proportional to 48,488, 66,914.25 and 31,721 is: 43,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,488 : 66,914.25 = 31,721 : x
  2. Step 2: Convert to fraction form
    48,488/66,914.25 = 31,721/x
  3. Step 3: Cross multiply
    48,488x = 66,914.25 × 31,721
  4. Step 4: Simplify right side
    48,488x = 2,122,586,924.25
  5. Step 5: Solve for x
    x = 2,122,586,924.25/48,488
  6. Step 6: Final answer
    x = 43,775.51

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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.