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Finding the Fourth Proportional to 65,743, 90,726.78 and 35,935

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Solution

The fourth proportional to 65,743, 90,726.78 and 35,935 is: 49,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743 : 90,726.78 = 35,935 : x
  2. Step 2: Convert to fraction form
    65,743/90,726.78 = 35,935/x
  3. Step 3: Cross multiply
    65,743x = 90,726.78 × 35,935
  4. Step 4: Simplify right side
    65,743x = 3,260,266,839.30
  5. Step 5: Solve for x
    x = 3,260,266,839.30/65,743
  6. Step 6: Final answer
    x = 49,591.09

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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.