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Finding the Fourth Proportional to 65,468.16, 98,217.96 and 21,099.12

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Solution

The fourth proportional to 65,468.16, 98,217.96 and 21,099.12 is: 31,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,468.16 : 98,217.96 = 21,099.12 : x
  2. Step 2: Convert to fraction form
    65,468.16/98,217.96 = 21,099.12/x
  3. Step 3: Cross multiply
    65,468.16x = 98,217.96 × 21,099.12
  4. Step 4: Simplify right side
    65,468.16x = 2,072,312,524.20
  5. Step 5: Solve for x
    x = 2,072,312,524.20/65,468.16
  6. Step 6: Final answer
    x = 31,653.75

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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.