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Finding the Fourth Proportional to 65,121.30, 97,672.35 and 18,378.90

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Solution

The fourth proportional to 65,121.30, 97,672.35 and 18,378.90 is: 27,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,121.30 : 97,672.35 = 18,378.90 : x
  2. Step 2: Convert to fraction form
    65,121.30/97,672.35 = 18,378.90/x
  3. Step 3: Cross multiply
    65,121.30x = 97,672.35 × 18,378.90
  4. Step 4: Simplify right side
    65,121.30x = 1,795,110,353.42
  5. Step 5: Solve for x
    x = 1,795,110,353.42/65,121.30
  6. Step 6: Final answer
    x = 27,565.64

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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.