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Finding the Fourth Proportional to 40,142.60, 55,395.22 and 21,993

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Solution

The fourth proportional to 40,142.60, 55,395.22 and 21,993 is: 30,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,142.60 : 55,395.22 = 21,993 : x
  2. Step 2: Convert to fraction form
    40,142.60/55,395.22 = 21,993/x
  3. Step 3: Cross multiply
    40,142.60x = 55,395.22 × 21,993
  4. Step 4: Simplify right side
    40,142.60x = 1,218,307,073.46
  5. Step 5: Solve for x
    x = 1,218,307,073.46/40,142.60
  6. Step 6: Final answer
    x = 30,349.48

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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.