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Finding the Fourth Proportional to 209,368.72, 313,863.04 and 76,154.82

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Solution

The fourth proportional to 209,368.72, 313,863.04 and 76,154.82 is: 114,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,368.72 : 313,863.04 = 76,154.82 : x
  2. Step 2: Convert to fraction form
    209,368.72/313,863.04 = 76,154.82/x
  3. Step 3: Cross multiply
    209,368.72x = 313,863.04 × 76,154.82
  4. Step 4: Simplify right side
    209,368.72x = 23,902,183,315.85
  5. Step 5: Solve for x
    x = 23,902,183,315.85/209,368.72
  6. Step 6: Final answer
    x = 114,163.11

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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.