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Finding the Fourth Proportional to 57,661.32, 86,490.88 and 20,211

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Solution

The fourth proportional to 57,661.32, 86,490.88 and 20,211 is: 30,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,661.32 : 86,490.88 = 20,211 : x
  2. Step 2: Convert to fraction form
    57,661.32/86,490.88 = 20,211/x
  3. Step 3: Cross multiply
    57,661.32x = 86,490.88 × 20,211
  4. Step 4: Simplify right side
    57,661.32x = 1,748,067,175.68
  5. Step 5: Solve for x
    x = 1,748,067,175.68/57,661.32
  6. Step 6: Final answer
    x = 30,316.11

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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.