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Finding the Fourth Proportional to 65,794.49, 98,693.55 and 21,423.90

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Solution

The fourth proportional to 65,794.49, 98,693.55 and 21,423.90 is: 32,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,794.49 : 98,693.55 = 21,423.90 : x
  2. Step 2: Convert to fraction form
    65,794.49/98,693.55 = 21,423.90/x
  3. Step 3: Cross multiply
    65,794.49x = 98,693.55 × 21,423.90
  4. Step 4: Simplify right side
    65,794.49x = 2,114,400,745.85
  5. Step 5: Solve for x
    x = 2,114,400,745.85/65,794.49
  6. Step 6: Final answer
    x = 32,136.44

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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.