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Finding the Fourth Proportional to 65,691.41, 90,655.94 and 40,197.31

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Solution

The fourth proportional to 65,691.41, 90,655.94 and 40,197.31 is: 55,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.41 : 90,655.94 = 40,197.31 : x
  2. Step 2: Convert to fraction form
    65,691.41/90,655.94 = 40,197.31/x
  3. Step 3: Cross multiply
    65,691.41x = 90,655.94 × 40,197.31
  4. Step 4: Simplify right side
    65,691.41x = 3,644,124,797.37
  5. Step 5: Solve for x
    x = 3,644,124,797.37/65,691.41
  6. Step 6: Final answer
    x = 55,473.39

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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.