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Finding the Fourth Proportional to 65,296, 90,108.48 and 38,800

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Solution

The fourth proportional to 65,296, 90,108.48 and 38,800 is: 53,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,296 : 90,108.48 = 38,800 : x
  2. Step 2: Convert to fraction form
    65,296/90,108.48 = 38,800/x
  3. Step 3: Cross multiply
    65,296x = 90,108.48 × 38,800
  4. Step 4: Simplify right side
    65,296x = 3,496,209,024
  5. Step 5: Solve for x
    x = 3,496,209,024/65,296
  6. Step 6: Final answer
    x = 53,544

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.