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Finding the Fourth Proportional to 53,696.70, 74,171.22 and 40,872

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Solution

The fourth proportional to 53,696.70, 74,171.22 and 40,872 is: 56,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.70 : 74,171.22 = 40,872 : x
  2. Step 2: Convert to fraction form
    53,696.70/74,171.22 = 40,872/x
  3. Step 3: Cross multiply
    53,696.70x = 74,171.22 × 40,872
  4. Step 4: Simplify right side
    53,696.70x = 3,031,526,103.84
  5. Step 5: Solve for x
    x = 3,031,526,103.84/53,696.70
  6. Step 6: Final answer
    x = 56,456.47

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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.