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Finding the Fourth Proportional to 65,245.64, 90,033.48 and 36,174.78

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Solution

The fourth proportional to 65,245.64, 90,033.48 and 36,174.78 is: 49,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.64 : 90,033.48 = 36,174.78 : x
  2. Step 2: Convert to fraction form
    65,245.64/90,033.48 = 36,174.78/x
  3. Step 3: Cross multiply
    65,245.64x = 90,033.48 × 36,174.78
  4. Step 4: Simplify right side
    65,245.64x = 3,256,941,331.63
  5. Step 5: Solve for x
    x = 3,256,941,331.63/65,245.64
  6. Step 6: Final answer
    x = 49,918.15

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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.