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Finding the Fourth Proportional to 209,065.27, 313,646.51 and 68,825.11

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Solution

The fourth proportional to 209,065.27, 313,646.51 and 68,825.11 is: 103,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,065.27 : 313,646.51 = 68,825.11 : x
  2. Step 2: Convert to fraction form
    209,065.27/313,646.51 = 68,825.11/x
  3. Step 3: Cross multiply
    209,065.27x = 313,646.51 × 68,825.11
  4. Step 4: Simplify right side
    209,065.27x = 21,586,755,551.87
  5. Step 5: Solve for x
    x = 21,586,755,551.87/209,065.27
  6. Step 6: Final answer
    x = 103,253.67

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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.