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Finding the Fourth Proportional to 65,716.56, 90,722.97 and 40,259.88

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Solution

The fourth proportional to 65,716.56, 90,722.97 and 40,259.88 is: 55,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,716.56 : 90,722.97 = 40,259.88 : x
  2. Step 2: Convert to fraction form
    65,716.56/90,722.97 = 40,259.88/x
  3. Step 3: Cross multiply
    65,716.56x = 90,722.97 × 40,259.88
  4. Step 4: Simplify right side
    65,716.56x = 3,652,495,885.44
  5. Step 5: Solve for x
    x = 3,652,495,885.44/65,716.56
  6. Step 6: Final answer
    x = 55,579.54

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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.