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Finding the Fourth Proportional to 221,301.90, 332,050.05 and 102,912.30

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Solution

The fourth proportional to 221,301.90, 332,050.05 and 102,912.30 is: 154,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,301.90 : 332,050.05 = 102,912.30 : x
  2. Step 2: Convert to fraction form
    221,301.90/332,050.05 = 102,912.30/x
  3. Step 3: Cross multiply
    221,301.90x = 332,050.05 × 102,912.30
  4. Step 4: Simplify right side
    221,301.90x = 34,172,034,360.62
  5. Step 5: Solve for x
    x = 34,172,034,360.62/221,301.90
  6. Step 6: Final answer
    x = 154,413.65

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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.