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Finding the Fourth Proportional to 65,826, 90,757.53 and 54,939.87

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Solution

The fourth proportional to 65,826, 90,757.53 and 54,939.87 is: 75,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826 : 90,757.53 = 54,939.87 : x
  2. Step 2: Convert to fraction form
    65,826/90,757.53 = 54,939.87/x
  3. Step 3: Cross multiply
    65,826x = 90,757.53 × 54,939.87
  4. Step 4: Simplify right side
    65,826x = 4,986,206,899.72
  5. Step 5: Solve for x
    x = 4,986,206,899.72/65,826
  6. Step 6: Final answer
    x = 75,748.29

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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.