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Finding the Fourth Proportional to 221,554.86, 332,440.73 and 137,292.48

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Solution

The fourth proportional to 221,554.86, 332,440.73 and 137,292.48 is: 206,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,554.86 : 332,440.73 = 137,292.48 : x
  2. Step 2: Convert to fraction form
    221,554.86/332,440.73 = 137,292.48/x
  3. Step 3: Cross multiply
    221,554.86x = 332,440.73 × 137,292.48
  4. Step 4: Simplify right side
    221,554.86x = 45,641,612,274.71
  5. Step 5: Solve for x
    x = 45,641,612,274.71/221,554.86
  6. Step 6: Final answer
    x = 206,005.92

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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.