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Finding the Fourth Proportional to 49,980, 68,972.48 and 27,624

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Solution

The fourth proportional to 49,980, 68,972.48 and 27,624 is: 38,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980 : 68,972.48 = 27,624 : x
  2. Step 2: Convert to fraction form
    49,980/68,972.48 = 27,624/x
  3. Step 3: Cross multiply
    49,980x = 68,972.48 × 27,624
  4. Step 4: Simplify right side
    49,980x = 1,905,295,787.52
  5. Step 5: Solve for x
    x = 1,905,295,787.52/49,980
  6. Step 6: Final answer
    x = 38,121.16

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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.