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Finding the Fourth Proportional to 100,570.89, 150,857.72 and 25,691.66

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Solution

The fourth proportional to 100,570.89, 150,857.72 and 25,691.66 is: 38,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.89 : 150,857.72 = 25,691.66 : x
  2. Step 2: Convert to fraction form
    100,570.89/150,857.72 = 25,691.66/x
  3. Step 3: Cross multiply
    100,570.89x = 150,857.72 × 25,691.66
  4. Step 4: Simplify right side
    100,570.89x = 3,875,785,250.62
  5. Step 5: Solve for x
    x = 3,875,785,250.62/100,570.89
  6. Step 6: Final answer
    x = 38,537.84

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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.