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Finding the Fourth Proportional to 209,286.28, 313,929.42 and 61,542.28

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Solution

The fourth proportional to 209,286.28, 313,929.42 and 61,542.28 is: 92,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.28 : 313,929.42 = 61,542.28 : x
  2. Step 2: Convert to fraction form
    209,286.28/313,929.42 = 61,542.28/x
  3. Step 3: Cross multiply
    209,286.28x = 313,929.42 × 61,542.28
  4. Step 4: Simplify right side
    209,286.28x = 19,319,932,773.68
  5. Step 5: Solve for x
    x = 19,319,932,773.68/209,286.28
  6. Step 6: Final answer
    x = 92,313.42

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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.