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Finding the Fourth Proportional to 252,021.60, 378,118.80 and 111,880.80

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Solution

The fourth proportional to 252,021.60, 378,118.80 and 111,880.80 is: 167,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,021.60 : 378,118.80 = 111,880.80 : x
  2. Step 2: Convert to fraction form
    252,021.60/378,118.80 = 111,880.80/x
  3. Step 3: Cross multiply
    252,021.60x = 378,118.80 × 111,880.80
  4. Step 4: Simplify right side
    252,021.60x = 42,304,233,839.04
  5. Step 5: Solve for x
    x = 42,304,233,839.04/252,021.60
  6. Step 6: Final answer
    x = 167,859.56

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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.