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Finding the Fourth Proportional to 209,430.56, 313,959.90 and 76,286

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Solution

The fourth proportional to 209,430.56, 313,959.90 and 76,286 is: 114,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,430.56 : 313,959.90 = 76,286 : x
  2. Step 2: Convert to fraction form
    209,430.56/313,959.90 = 76,286/x
  3. Step 3: Cross multiply
    209,430.56x = 313,959.90 × 76,286
  4. Step 4: Simplify right side
    209,430.56x = 23,950,744,931.40
  5. Step 5: Solve for x
    x = 23,950,744,931.40/209,430.56
  6. Step 6: Final answer
    x = 114,361.27

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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.