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Finding the Fourth Proportional to 209,426.56, 313,953.90 and 76,282

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Solution

The fourth proportional to 209,426.56, 313,953.90 and 76,282 is: 114,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,426.56 : 313,953.90 = 76,282 : x
  2. Step 2: Convert to fraction form
    209,426.56/313,953.90 = 76,282/x
  3. Step 3: Cross multiply
    209,426.56x = 313,953.90 × 76,282
  4. Step 4: Simplify right side
    209,426.56x = 23,949,031,399.80
  5. Step 5: Solve for x
    x = 23,949,031,399.80/209,426.56
  6. Step 6: Final answer
    x = 114,355.27

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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.