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Finding the Fourth Proportional to 203,556.54, 305,522.73 and 146,689.50

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Solution

The fourth proportional to 203,556.54, 305,522.73 and 146,689.50 is: 220,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,556.54 : 305,522.73 = 146,689.50 : x
  2. Step 2: Convert to fraction form
    203,556.54/305,522.73 = 146,689.50/x
  3. Step 3: Cross multiply
    203,556.54x = 305,522.73 × 146,689.50
  4. Step 4: Simplify right side
    203,556.54x = 44,816,976,502.34
  5. Step 5: Solve for x
    x = 44,816,976,502.34/203,556.54
  6. Step 6: Final answer
    x = 220,169.67

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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.