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Finding the Fourth Proportional to 143,249.78, 214,874.67 and 54,482.78

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Solution

The fourth proportional to 143,249.78, 214,874.67 and 54,482.78 is: 81,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,249.78 : 214,874.67 = 54,482.78 : x
  2. Step 2: Convert to fraction form
    143,249.78/214,874.67 = 54,482.78/x
  3. Step 3: Cross multiply
    143,249.78x = 214,874.67 × 54,482.78
  4. Step 4: Simplify right side
    143,249.78x = 11,706,969,373.18
  5. Step 5: Solve for x
    x = 11,706,969,373.18/143,249.78
  6. Step 6: Final answer
    x = 81,724.17

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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.