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Finding the Fourth Proportional to 83,054, 124,632.84 and 33,806

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Solution

The fourth proportional to 83,054, 124,632.84 and 33,806 is: 50,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054 : 124,632.84 = 33,806 : x
  2. Step 2: Convert to fraction form
    83,054/124,632.84 = 33,806/x
  3. Step 3: Cross multiply
    83,054x = 124,632.84 × 33,806
  4. Step 4: Simplify right side
    83,054x = 4,213,337,789.04
  5. Step 5: Solve for x
    x = 4,213,337,789.04/83,054
  6. Step 6: Final answer
    x = 50,730.10

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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.