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Finding the Fourth Proportional to 65,222, 90,007.68 and 39,729.44

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Solution

The fourth proportional to 65,222, 90,007.68 and 39,729.44 is: 54,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222 : 90,007.68 = 39,729.44 : x
  2. Step 2: Convert to fraction form
    65,222/90,007.68 = 39,729.44/x
  3. Step 3: Cross multiply
    65,222x = 90,007.68 × 39,729.44
  4. Step 4: Simplify right side
    65,222x = 3,575,954,722.10
  5. Step 5: Solve for x
    x = 3,575,954,722.10/65,222
  6. Step 6: Final answer
    x = 54,827.43

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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.