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Finding the Fourth Proportional to 65,745.81, 90,712.17 and 40,242.96

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Solution

The fourth proportional to 65,745.81, 90,712.17 and 40,242.96 is: 55,524.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,745.81 : 90,712.17 = 40,242.96 : x
  2. Step 2: Convert to fraction form
    65,745.81/90,712.17 = 40,242.96/x
  3. Step 3: Cross multiply
    65,745.81x = 90,712.17 × 40,242.96
  4. Step 4: Simplify right side
    65,745.81x = 3,650,526,228.82
  5. Step 5: Solve for x
    x = 3,650,526,228.82/65,745.81
  6. Step 6: Final answer
    x = 55,524.85

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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.