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Finding the Fourth Proportional to 65,722.78, 90,692.32 and 40,218.56

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Solution

The fourth proportional to 65,722.78, 90,692.32 and 40,218.56 is: 55,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,722.78 : 90,692.32 = 40,218.56 : x
  2. Step 2: Convert to fraction form
    65,722.78/90,692.32 = 40,218.56/x
  3. Step 3: Cross multiply
    65,722.78x = 90,692.32 × 40,218.56
  4. Step 4: Simplify right side
    65,722.78x = 3,647,514,513.46
  5. Step 5: Solve for x
    x = 3,647,514,513.46/65,722.78
  6. Step 6: Final answer
    x = 55,498.48

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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.