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Finding the Fourth Proportional to 221,708.64, 332,674.16 and 103,389.20

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Solution

The fourth proportional to 221,708.64, 332,674.16 and 103,389.20 is: 155,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,708.64 : 332,674.16 = 103,389.20 : x
  2. Step 2: Convert to fraction form
    221,708.64/332,674.16 = 103,389.20/x
  3. Step 3: Cross multiply
    221,708.64x = 332,674.16 × 103,389.20
  4. Step 4: Simplify right side
    221,708.64x = 34,394,915,263.07
  5. Step 5: Solve for x
    x = 34,394,915,263.07/221,708.64
  6. Step 6: Final answer
    x = 155,135.66

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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.