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Finding the Fourth Proportional to 49,986, 68,980.76 and 27,630

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Solution

The fourth proportional to 49,986, 68,980.76 and 27,630 is: 38,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,986 : 68,980.76 = 27,630 : x
  2. Step 2: Convert to fraction form
    49,986/68,980.76 = 27,630/x
  3. Step 3: Cross multiply
    49,986x = 68,980.76 × 27,630
  4. Step 4: Simplify right side
    49,986x = 1,905,938,398.80
  5. Step 5: Solve for x
    x = 1,905,938,398.80/49,986
  6. Step 6: Final answer
    x = 38,129.44

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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.