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Finding the Fourth Proportional to 109,986, 164,979 and 39,865.38

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Solution

The fourth proportional to 109,986, 164,979 and 39,865.38 is: 59,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986 : 164,979 = 39,865.38 : x
  2. Step 2: Convert to fraction form
    109,986/164,979 = 39,865.38/x
  3. Step 3: Cross multiply
    109,986x = 164,979 × 39,865.38
  4. Step 4: Simplify right side
    109,986x = 6,576,950,527.02
  5. Step 5: Solve for x
    x = 6,576,950,527.02/109,986
  6. Step 6: Final answer
    x = 59,798.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.