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Finding the Fourth Proportional to 209,276.70, 313,606.29 and 123,799.17

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Solution

The fourth proportional to 209,276.70, 313,606.29 and 123,799.17 is: 185,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,276.70 : 313,606.29 = 123,799.17 : x
  2. Step 2: Convert to fraction form
    209,276.70/313,606.29 = 123,799.17/x
  3. Step 3: Cross multiply
    209,276.70x = 313,606.29 × 123,799.17
  4. Step 4: Simplify right side
    209,276.70x = 38,824,198,408.78
  5. Step 5: Solve for x
    x = 38,824,198,408.78/209,276.70
  6. Step 6: Final answer
    x = 185,516.11

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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.