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Finding the Fourth Proportional to 65,963.10, 98,960.16 and 21,589.68

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Solution

The fourth proportional to 65,963.10, 98,960.16 and 21,589.68 is: 32,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963.10 : 98,960.16 = 21,589.68 : x
  2. Step 2: Convert to fraction form
    65,963.10/98,960.16 = 21,589.68/x
  3. Step 3: Cross multiply
    65,963.10x = 98,960.16 × 21,589.68
  4. Step 4: Simplify right side
    65,963.10x = 2,136,518,187.15
  5. Step 5: Solve for x
    x = 2,136,518,187.15/65,963.10
  6. Step 6: Final answer
    x = 32,389.60

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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.