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Finding the Fourth Proportional to 40,166.82, 55,428.69 and 22,261.38

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Solution

The fourth proportional to 40,166.82, 55,428.69 and 22,261.38 is: 30,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,166.82 : 55,428.69 = 22,261.38 : x
  2. Step 2: Convert to fraction form
    40,166.82/55,428.69 = 22,261.38/x
  3. Step 3: Cross multiply
    40,166.82x = 55,428.69 × 22,261.38
  4. Step 4: Simplify right side
    40,166.82x = 1,233,919,130.99
  5. Step 5: Solve for x
    x = 1,233,919,130.99/40,166.82
  6. Step 6: Final answer
    x = 30,719.86

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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.