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Finding the Fourth Proportional to 192,514.78, 288,821.37 and 74,154.34

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Solution

The fourth proportional to 192,514.78, 288,821.37 and 74,154.34 is: 111,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,514.78 : 288,821.37 = 74,154.34 : x
  2. Step 2: Convert to fraction form
    192,514.78/288,821.37 = 74,154.34/x
  3. Step 3: Cross multiply
    192,514.78x = 288,821.37 × 74,154.34
  4. Step 4: Simplify right side
    192,514.78x = 21,417,356,626.14
  5. Step 5: Solve for x
    x = 21,417,356,626.14/192,514.78
  6. Step 6: Final answer
    x = 111,250.46

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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.