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Finding the Fourth Proportional to 65,104.38, 97,658.19 and 18,355.50

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Solution

The fourth proportional to 65,104.38, 97,658.19 and 18,355.50 is: 27,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,104.38 : 97,658.19 = 18,355.50 : x
  2. Step 2: Convert to fraction form
    65,104.38/97,658.19 = 18,355.50/x
  3. Step 3: Cross multiply
    65,104.38x = 97,658.19 × 18,355.50
  4. Step 4: Simplify right side
    65,104.38x = 1,792,564,906.55
  5. Step 5: Solve for x
    x = 1,792,564,906.55/65,104.38
  6. Step 6: Final answer
    x = 27,533.71

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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.