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Finding the Fourth Proportional to 65,149.50, 97,724.66 and 18,402.78

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Solution

The fourth proportional to 65,149.50, 97,724.66 and 18,402.78 is: 27,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,149.50 : 97,724.66 = 18,402.78 : x
  2. Step 2: Convert to fraction form
    65,149.50/97,724.66 = 18,402.78/x
  3. Step 3: Cross multiply
    65,149.50x = 97,724.66 × 18,402.78
  4. Step 4: Simplify right side
    65,149.50x = 1,798,405,326.54
  5. Step 5: Solve for x
    x = 1,798,405,326.54/65,149.50
  6. Step 6: Final answer
    x = 27,604.28

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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.