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Finding the Fourth Proportional to 48,291, 66,641.82 and 28,161.84

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Solution

The fourth proportional to 48,291, 66,641.82 and 28,161.84 is: 38,863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,291 : 66,641.82 = 28,161.84 : x
  2. Step 2: Convert to fraction form
    48,291/66,641.82 = 28,161.84/x
  3. Step 3: Cross multiply
    48,291x = 66,641.82 × 28,161.84
  4. Step 4: Simplify right side
    48,291x = 1,876,756,272.15
  5. Step 5: Solve for x
    x = 1,876,756,272.15/48,291
  6. Step 6: Final answer
    x = 38,863.48

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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.