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Finding the Fourth Proportional to 65,761.80, 90,749.44 and 37,081.20

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Solution

The fourth proportional to 65,761.80, 90,749.44 and 37,081.20 is: 51,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.80 : 90,749.44 = 37,081.20 : x
  2. Step 2: Convert to fraction form
    65,761.80/90,749.44 = 37,081.20/x
  3. Step 3: Cross multiply
    65,761.80x = 90,749.44 × 37,081.20
  4. Step 4: Simplify right side
    65,761.80x = 3,365,098,134.53
  5. Step 5: Solve for x
    x = 3,365,098,134.53/65,761.80
  6. Step 6: Final answer
    x = 51,171.02

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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.