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Finding the Fourth Proportional to 143,223.89, 214,841.24 and 54,460.85

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Solution

The fourth proportional to 143,223.89, 214,841.24 and 54,460.85 is: 81,693.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,223.89 : 214,841.24 = 54,460.85 : x
  2. Step 2: Convert to fraction form
    143,223.89/214,841.24 = 54,460.85/x
  3. Step 3: Cross multiply
    143,223.89x = 214,841.24 × 54,460.85
  4. Step 4: Simplify right side
    143,223.89x = 11,700,436,273.15
  5. Step 5: Solve for x
    x = 11,700,436,273.15/143,223.89
  6. Step 6: Final answer
    x = 81,693.33

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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.