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Finding the Fourth Proportional to 65,814.88, 90,785.37 and 39,964.54

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Solution

The fourth proportional to 65,814.88, 90,785.37 and 39,964.54 is: 55,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814.88 : 90,785.37 = 39,964.54 : x
  2. Step 2: Convert to fraction form
    65,814.88/90,785.37 = 39,964.54/x
  3. Step 3: Cross multiply
    65,814.88x = 90,785.37 × 39,964.54
  4. Step 4: Simplify right side
    65,814.88x = 3,628,195,550.78
  5. Step 5: Solve for x
    x = 3,628,195,550.78/65,814.88
  6. Step 6: Final answer
    x = 55,127.28

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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.