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Finding the Fourth Proportional to 57,800, 86,702.46 and 18,356.24

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Solution

The fourth proportional to 57,800, 86,702.46 and 18,356.24 is: 27,535.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,800 : 86,702.46 = 18,356.24 : x
  2. Step 2: Convert to fraction form
    57,800/86,702.46 = 18,356.24/x
  3. Step 3: Cross multiply
    57,800x = 86,702.46 × 18,356.24
  4. Step 4: Simplify right side
    57,800x = 1,591,531,164.35
  5. Step 5: Solve for x
    x = 1,591,531,164.35/57,800
  6. Step 6: Final answer
    x = 27,535.14

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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.