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Finding the Fourth Proportional to 65,146.26, 97,719.78 and 18,399.54

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Solution

The fourth proportional to 65,146.26, 97,719.78 and 18,399.54 is: 27,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.26 : 97,719.78 = 18,399.54 : x
  2. Step 2: Convert to fraction form
    65,146.26/97,719.78 = 18,399.54/x
  3. Step 3: Cross multiply
    65,146.26x = 97,719.78 × 18,399.54
  4. Step 4: Simplify right side
    65,146.26x = 1,797,999,000.90
  5. Step 5: Solve for x
    x = 1,797,999,000.90/65,146.26
  6. Step 6: Final answer
    x = 27,599.42

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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.