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Finding the Fourth Proportional to 209,314.98, 313,782.54 and 76,101.12

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Solution

The fourth proportional to 209,314.98, 313,782.54 and 76,101.12 is: 114,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.98 : 313,782.54 = 76,101.12 : x
  2. Step 2: Convert to fraction form
    209,314.98/313,782.54 = 76,101.12/x
  3. Step 3: Cross multiply
    209,314.98x = 313,782.54 × 76,101.12
  4. Step 4: Simplify right side
    209,314.98x = 23,879,202,730.44
  5. Step 5: Solve for x
    x = 23,879,202,730.44/209,314.98
  6. Step 6: Final answer
    x = 114,082.63

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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.