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Finding the Fourth Proportional to 65,963.09, 98,960.16 and 21,589.67

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Solution

The fourth proportional to 65,963.09, 98,960.16 and 21,589.67 is: 32,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.09 : 98,960.16 = 21,589.67 : x
  2. Step 2: Convert to fraction form
    65,963.09/98,960.16 = 21,589.67/x
  3. Step 3: Cross multiply
    65,963.09x = 98,960.16 × 21,589.67
  4. Step 4: Simplify right side
    65,963.09x = 2,136,517,197.55
  5. Step 5: Solve for x
    x = 2,136,517,197.55/65,963.09
  6. Step 6: Final answer
    x = 32,389.59

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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.