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Finding the Fourth Proportional to 143,221.74, 214,505.55 and 68,394.54

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Solution

The fourth proportional to 143,221.74, 214,505.55 and 68,394.54 is: 102,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,221.74 : 214,505.55 = 68,394.54 : x
  2. Step 2: Convert to fraction form
    143,221.74/214,505.55 = 68,394.54/x
  3. Step 3: Cross multiply
    143,221.74x = 214,505.55 × 68,394.54
  4. Step 4: Simplify right side
    143,221.74x = 14,671,008,419.70
  5. Step 5: Solve for x
    x = 14,671,008,419.70/143,221.74
  6. Step 6: Final answer
    x = 102,435.62

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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.