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Finding the Fourth Proportional to 199,805.57, 299,708.35 and 81,486.17

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Solution

The fourth proportional to 199,805.57, 299,708.35 and 81,486.17 is: 122,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,805.57 : 299,708.35 = 81,486.17 : x
  2. Step 2: Convert to fraction form
    199,805.57/299,708.35 = 81,486.17/x
  3. Step 3: Cross multiply
    199,805.57x = 299,708.35 × 81,486.17
  4. Step 4: Simplify right side
    199,805.57x = 24,422,083,856.26
  5. Step 5: Solve for x
    x = 24,422,083,856.26/199,805.57
  6. Step 6: Final answer
    x = 122,229.25

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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.