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Finding the Fourth Proportional to 49,972.84, 74,980.03 and 21,878.43

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Solution

The fourth proportional to 49,972.84, 74,980.03 and 21,878.43 is: 32,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,972.84 : 74,980.03 = 21,878.43 : x
  2. Step 2: Convert to fraction form
    49,972.84/74,980.03 = 21,878.43/x
  3. Step 3: Cross multiply
    49,972.84x = 74,980.03 × 21,878.43
  4. Step 4: Simplify right side
    49,972.84x = 1,640,444,962.85
  5. Step 5: Solve for x
    x = 1,640,444,962.85/49,972.84
  6. Step 6: Final answer
    x = 32,826.73

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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.