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Finding the Fourth Proportional to 83,217.54, 124,814 and 30,614.72

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Solution

The fourth proportional to 83,217.54, 124,814 and 30,614.72 is: 45,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217.54 : 124,814 = 30,614.72 : x
  2. Step 2: Convert to fraction form
    83,217.54/124,814 = 30,614.72/x
  3. Step 3: Cross multiply
    83,217.54x = 124,814 × 30,614.72
  4. Step 4: Simplify right side
    83,217.54x = 3,821,145,662.08
  5. Step 5: Solve for x
    x = 3,821,145,662.08/83,217.54
  6. Step 6: Final answer
    x = 45,917.55

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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.