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Finding the Fourth Proportional to 209,214.70, 313,955.70 and 76,082.29

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Solution

The fourth proportional to 209,214.70, 313,955.70 and 76,082.29 is: 114,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.70 : 313,955.70 = 76,082.29 : x
  2. Step 2: Convert to fraction form
    209,214.70/313,955.70 = 76,082.29/x
  3. Step 3: Cross multiply
    209,214.70x = 313,955.70 × 76,082.29
  4. Step 4: Simplify right side
    209,214.70x = 23,886,467,544.36
  5. Step 5: Solve for x
    x = 23,886,467,544.36/209,214.70
  6. Step 6: Final answer
    x = 114,172.03

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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.