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Finding the Fourth Proportional to 84,787.50, 127,183.68 and 22,458

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Solution

The fourth proportional to 84,787.50, 127,183.68 and 22,458 is: 33,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,787.50 : 127,183.68 = 22,458 : x
  2. Step 2: Convert to fraction form
    84,787.50/127,183.68 = 22,458/x
  3. Step 3: Cross multiply
    84,787.50x = 127,183.68 × 22,458
  4. Step 4: Simplify right side
    84,787.50x = 2,856,291,085.44
  5. Step 5: Solve for x
    x = 2,856,291,085.44/84,787.50
  6. Step 6: Final answer
    x = 33,687.64

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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.