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Finding the Fourth Proportional to 209,288.57, 313,932.83 and 61,544.57

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Solution

The fourth proportional to 209,288.57, 313,932.83 and 61,544.57 is: 92,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,288.57 : 313,932.83 = 61,544.57 : x
  2. Step 2: Convert to fraction form
    209,288.57/313,932.83 = 61,544.57/x
  3. Step 3: Cross multiply
    209,288.57x = 313,932.83 × 61,544.57
  4. Step 4: Simplify right side
    209,288.57x = 19,320,859,153.85
  5. Step 5: Solve for x
    x = 19,320,859,153.85/209,288.57
  6. Step 6: Final answer
    x = 92,316.84

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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.