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Finding the Fourth Proportional to 65,105.91, 97,656.98 and 20,735.33

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Solution

The fourth proportional to 65,105.91, 97,656.98 and 20,735.33 is: 31,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.91 : 97,656.98 = 20,735.33 : x
  2. Step 2: Convert to fraction form
    65,105.91/97,656.98 = 20,735.33/x
  3. Step 3: Cross multiply
    65,105.91x = 97,656.98 × 20,735.33
  4. Step 4: Simplify right side
    65,105.91x = 2,024,949,115.14
  5. Step 5: Solve for x
    x = 2,024,949,115.14/65,105.91
  6. Step 6: Final answer
    x = 31,102.39

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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.