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Finding the Fourth Proportional to 73,943.28, 102,042.48 and 40,409.28

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Solution

The fourth proportional to 73,943.28, 102,042.48 and 40,409.28 is: 55,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,943.28 : 102,042.48 = 40,409.28 : x
  2. Step 2: Convert to fraction form
    73,943.28/102,042.48 = 40,409.28/x
  3. Step 3: Cross multiply
    73,943.28x = 102,042.48 × 40,409.28
  4. Step 4: Simplify right side
    73,943.28x = 4,123,463,146.21
  5. Step 5: Solve for x
    x = 4,123,463,146.21/73,943.28
  6. Step 6: Final answer
    x = 55,765.22

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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.