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Finding the Fourth Proportional to 146,998.78, 220,518.78 and 47,135.50

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Solution

The fourth proportional to 146,998.78, 220,518.78 and 47,135.50 is: 70,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,998.78 : 220,518.78 = 47,135.50 : x
  2. Step 2: Convert to fraction form
    146,998.78/220,518.78 = 47,135.50/x
  3. Step 3: Cross multiply
    146,998.78x = 220,518.78 × 47,135.50
  4. Step 4: Simplify right side
    146,998.78x = 10,394,262,954.69
  5. Step 5: Solve for x
    x = 10,394,262,954.69/146,998.78
  6. Step 6: Final answer
    x = 70,709.86

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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.