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Finding the Fourth Proportional to 65,105.90, 97,662.19 and 18,362.42

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Solution

The fourth proportional to 65,105.90, 97,662.19 and 18,362.42 is: 27,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.90 : 97,662.19 = 18,362.42 : x
  2. Step 2: Convert to fraction form
    65,105.90/97,662.19 = 18,362.42/x
  3. Step 3: Cross multiply
    65,105.90x = 97,662.19 × 18,362.42
  4. Step 4: Simplify right side
    65,105.90x = 1,793,314,150.90
  5. Step 5: Solve for x
    x = 1,793,314,150.90/65,105.90
  6. Step 6: Final answer
    x = 27,544.57

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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.