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Finding the Fourth Proportional to 65,707.72, 98,562.30 and 18,961

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Solution

The fourth proportional to 65,707.72, 98,562.30 and 18,961 is: 28,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,707.72 : 98,562.30 = 18,961 : x
  2. Step 2: Convert to fraction form
    65,707.72/98,562.30 = 18,961/x
  3. Step 3: Cross multiply
    65,707.72x = 98,562.30 × 18,961
  4. Step 4: Simplify right side
    65,707.72x = 1,868,839,770.30
  5. Step 5: Solve for x
    x = 1,868,839,770.30/65,707.72
  6. Step 6: Final answer
    x = 28,441.71

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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.