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Finding the Fourth Proportional to 84,198, 116,180 and 48,381.08

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Solution

The fourth proportional to 84,198, 116,180 and 48,381.08 is: 66,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198 : 116,180 = 48,381.08 : x
  2. Step 2: Convert to fraction form
    84,198/116,180 = 48,381.08/x
  3. Step 3: Cross multiply
    84,198x = 116,180 × 48,381.08
  4. Step 4: Simplify right side
    84,198x = 5,620,913,874.40
  5. Step 5: Solve for x
    x = 5,620,913,874.40/84,198
  6. Step 6: Final answer
    x = 66,758.28

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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.