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Finding the Fourth Proportional to 209,064.27, 313,645.01 and 68,824.11

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Solution

The fourth proportional to 209,064.27, 313,645.01 and 68,824.11 is: 103,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,064.27 : 313,645.01 = 68,824.11 : x
  2. Step 2: Convert to fraction form
    209,064.27/313,645.01 = 68,824.11/x
  3. Step 3: Cross multiply
    209,064.27x = 313,645.01 × 68,824.11
  4. Step 4: Simplify right side
    209,064.27x = 21,586,338,325.07
  5. Step 5: Solve for x
    x = 21,586,338,325.07/209,064.27
  6. Step 6: Final answer
    x = 103,252.16

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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.