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Finding the Fourth Proportional to 65,679.86, 90,603.17 and 40,198.57

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Solution

The fourth proportional to 65,679.86, 90,603.17 and 40,198.57 is: 55,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679.86 : 90,603.17 = 40,198.57 : x
  2. Step 2: Convert to fraction form
    65,679.86/90,603.17 = 40,198.57/x
  3. Step 3: Cross multiply
    65,679.86x = 90,603.17 × 40,198.57
  4. Step 4: Simplify right side
    65,679.86x = 3,642,117,871.47
  5. Step 5: Solve for x
    x = 3,642,117,871.47/65,679.86
  6. Step 6: Final answer
    x = 55,452.58

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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.