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Finding the Fourth Proportional to 65,234.78, 97,853.10 and 18,487.66

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Solution

The fourth proportional to 65,234.78, 97,853.10 and 18,487.66 is: 27,731.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.78 : 97,853.10 = 18,487.66 : x
  2. Step 2: Convert to fraction form
    65,234.78/97,853.10 = 18,487.66/x
  3. Step 3: Cross multiply
    65,234.78x = 97,853.10 × 18,487.66
  4. Step 4: Simplify right side
    65,234.78x = 1,809,074,842.75
  5. Step 5: Solve for x
    x = 1,809,074,842.75/65,234.78
  6. Step 6: Final answer
    x = 27,731.75

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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.