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Finding the Fourth Proportional to 65,163, 97,591.36 and 31,778.48

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Solution

The fourth proportional to 65,163, 97,591.36 and 31,778.48 is: 47,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,163 : 97,591.36 = 31,778.48 : x
  2. Step 2: Convert to fraction form
    65,163/97,591.36 = 31,778.48/x
  3. Step 3: Cross multiply
    65,163x = 97,591.36 × 31,778.48
  4. Step 4: Simplify right side
    65,163x = 3,101,305,081.93
  5. Step 5: Solve for x
    x = 3,101,305,081.93/65,163
  6. Step 6: Final answer
    x = 47,593.04

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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.