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Finding the Fourth Proportional to 209,424.54, 313,950.90 and 76,279.98

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Solution

The fourth proportional to 209,424.54, 313,950.90 and 76,279.98 is: 114,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,424.54 : 313,950.90 = 76,279.98 : x
  2. Step 2: Convert to fraction form
    209,424.54/313,950.90 = 76,279.98/x
  3. Step 3: Cross multiply
    209,424.54x = 313,950.90 × 76,279.98
  4. Step 4: Simplify right side
    209,424.54x = 23,948,168,372.98
  5. Step 5: Solve for x
    x = 23,948,168,372.98/209,424.54
  6. Step 6: Final answer
    x = 114,352.25

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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.