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Finding the Fourth Proportional to 36,948, 50,988.51 and 20,181

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Solution

The fourth proportional to 36,948, 50,988.51 and 20,181 is: 27,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,948 : 50,988.51 = 20,181 : x
  2. Step 2: Convert to fraction form
    36,948/50,988.51 = 20,181/x
  3. Step 3: Cross multiply
    36,948x = 50,988.51 × 20,181
  4. Step 4: Simplify right side
    36,948x = 1,028,999,120.31
  5. Step 5: Solve for x
    x = 1,028,999,120.31/36,948
  6. Step 6: Final answer
    x = 27,849.93

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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.