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Finding the Fourth Proportional to 83,221, 114,819.84 and 49,233.40

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Solution

The fourth proportional to 83,221, 114,819.84 and 49,233.40 is: 67,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221 : 114,819.84 = 49,233.40 : x
  2. Step 2: Convert to fraction form
    83,221/114,819.84 = 49,233.40/x
  3. Step 3: Cross multiply
    83,221x = 114,819.84 × 49,233.40
  4. Step 4: Simplify right side
    83,221x = 5,652,971,110.66
  5. Step 5: Solve for x
    x = 5,652,971,110.66/83,221
  6. Step 6: Final answer
    x = 67,927.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.