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Finding the Fourth Proportional to 65,227.40, 97,768.20 and 27,781.10

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Solution

The fourth proportional to 65,227.40, 97,768.20 and 27,781.10 is: 41,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227.40 : 97,768.20 = 27,781.10 : x
  2. Step 2: Convert to fraction form
    65,227.40/97,768.20 = 27,781.10/x
  3. Step 3: Cross multiply
    65,227.40x = 97,768.20 × 27,781.10
  4. Step 4: Simplify right side
    65,227.40x = 2,716,108,141.02
  5. Step 5: Solve for x
    x = 2,716,108,141.02/65,227.40
  6. Step 6: Final answer
    x = 41,640.60

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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.