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Finding the Fourth Proportional to 143,306.26, 214,961.52 and 54,564.69

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Solution

The fourth proportional to 143,306.26, 214,961.52 and 54,564.69 is: 81,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,306.26 : 214,961.52 = 54,564.69 : x
  2. Step 2: Convert to fraction form
    143,306.26/214,961.52 = 54,564.69/x
  3. Step 3: Cross multiply
    143,306.26x = 214,961.52 × 54,564.69
  4. Step 4: Simplify right side
    143,306.26x = 11,729,307,489.51
  5. Step 5: Solve for x
    x = 11,729,307,489.51/143,306.26
  6. Step 6: Final answer
    x = 81,847.84

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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.