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Finding the Fourth Proportional to 65,936.10, 90,991.72 and 35,722.19

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Solution

The fourth proportional to 65,936.10, 90,991.72 and 35,722.19 is: 49,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936.10 : 90,991.72 = 35,722.19 : x
  2. Step 2: Convert to fraction form
    65,936.10/90,991.72 = 35,722.19/x
  3. Step 3: Cross multiply
    65,936.10x = 90,991.72 × 35,722.19
  4. Step 4: Simplify right side
    65,936.10x = 3,250,423,331.66
  5. Step 5: Solve for x
    x = 3,250,423,331.66/65,936.10
  6. Step 6: Final answer
    x = 49,296.57

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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.