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Finding the Fourth Proportional to 65,174.40, 97,761.60 and 51,177.60

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Solution

The fourth proportional to 65,174.40, 97,761.60 and 51,177.60 is: 76,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.40 : 97,761.60 = 51,177.60 : x
  2. Step 2: Convert to fraction form
    65,174.40/97,761.60 = 51,177.60/x
  3. Step 3: Cross multiply
    65,174.40x = 97,761.60 × 51,177.60
  4. Step 4: Simplify right side
    65,174.40x = 5,003,204,060.16
  5. Step 5: Solve for x
    x = 5,003,204,060.16/65,174.40
  6. Step 6: Final answer
    x = 76,766.40

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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.