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Finding the Fourth Proportional to 56,640.24, 84,871.80 and 35,820

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Solution

The fourth proportional to 56,640.24, 84,871.80 and 35,820 is: 53,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,640.24 : 84,871.80 = 35,820 : x
  2. Step 2: Convert to fraction form
    56,640.24/84,871.80 = 35,820/x
  3. Step 3: Cross multiply
    56,640.24x = 84,871.80 × 35,820
  4. Step 4: Simplify right side
    56,640.24x = 3,040,107,876
  5. Step 5: Solve for x
    x = 3,040,107,876/56,640.24
  6. Step 6: Final answer
    x = 53,673.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.