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Finding the Fourth Proportional to 65,704.32, 90,633.60 and 40,536

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Solution

The fourth proportional to 65,704.32, 90,633.60 and 40,536 is: 55,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,704.32 : 90,633.60 = 40,536 : x
  2. Step 2: Convert to fraction form
    65,704.32/90,633.60 = 40,536/x
  3. Step 3: Cross multiply
    65,704.32x = 90,633.60 × 40,536
  4. Step 4: Simplify right side
    65,704.32x = 3,673,923,609.60
  5. Step 5: Solve for x
    x = 3,673,923,609.60/65,704.32
  6. Step 6: Final answer
    x = 55,916.01

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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.