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Finding the Fourth Proportional to 65,115, 97,672.98 and 15,867

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Solution

The fourth proportional to 65,115, 97,672.98 and 15,867 is: 23,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115 : 97,672.98 = 15,867 : x
  2. Step 2: Convert to fraction form
    65,115/97,672.98 = 15,867/x
  3. Step 3: Cross multiply
    65,115x = 97,672.98 × 15,867
  4. Step 4: Simplify right side
    65,115x = 1,549,777,173.66
  5. Step 5: Solve for x
    x = 1,549,777,173.66/65,115
  6. Step 6: Final answer
    x = 23,800.62

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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.