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Finding the Fourth Proportional to 65,930.44, 90,983.97 and 35,715.87

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Solution

The fourth proportional to 65,930.44, 90,983.97 and 35,715.87 is: 49,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,930.44 : 90,983.97 = 35,715.87 : x
  2. Step 2: Convert to fraction form
    65,930.44/90,983.97 = 35,715.87/x
  3. Step 3: Cross multiply
    65,930.44x = 90,983.97 × 35,715.87
  4. Step 4: Simplify right side
    65,930.44x = 3,249,571,644.60
  5. Step 5: Solve for x
    x = 3,249,571,644.60/65,930.44
  6. Step 6: Final answer
    x = 49,287.88

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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.