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Finding the Fourth Proportional to 83,494.50, 125,249.04 and 21,165

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Solution

The fourth proportional to 83,494.50, 125,249.04 and 21,165 is: 31,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,494.50 : 125,249.04 = 21,165 : x
  2. Step 2: Convert to fraction form
    83,494.50/125,249.04 = 21,165/x
  3. Step 3: Cross multiply
    83,494.50x = 125,249.04 × 21,165
  4. Step 4: Simplify right side
    83,494.50x = 2,650,895,931.60
  5. Step 5: Solve for x
    x = 2,650,895,931.60/83,494.50
  6. Step 6: Final answer
    x = 31,749.35

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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.