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Finding the Fourth Proportional to 65,105.55, 97,640.10 and 20,745.90

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Solution

The fourth proportional to 65,105.55, 97,640.10 and 20,745.90 is: 31,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.55 : 97,640.10 = 20,745.90 : x
  2. Step 2: Convert to fraction form
    65,105.55/97,640.10 = 20,745.90/x
  3. Step 3: Cross multiply
    65,105.55x = 97,640.10 × 20,745.90
  4. Step 4: Simplify right side
    65,105.55x = 2,025,631,750.59
  5. Step 5: Solve for x
    x = 2,025,631,750.59/65,105.55
  6. Step 6: Final answer
    x = 31,113.04

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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.