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Finding the Fourth Proportional to 73,943.50, 102,042.03 and 40,409.50

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Solution

The fourth proportional to 73,943.50, 102,042.03 and 40,409.50 is: 55,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,943.50 : 102,042.03 = 40,409.50 : x
  2. Step 2: Convert to fraction form
    73,943.50/102,042.03 = 40,409.50/x
  3. Step 3: Cross multiply
    73,943.50x = 102,042.03 × 40,409.50
  4. Step 4: Simplify right side
    73,943.50x = 4,123,467,411.29
  5. Step 5: Solve for x
    x = 4,123,467,411.29/73,943.50
  6. Step 6: Final answer
    x = 55,765.11

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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.