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Finding the Fourth Proportional to 73,954.46, 102,057.12 and 40,420.46

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Solution

The fourth proportional to 73,954.46, 102,057.12 and 40,420.46 is: 55,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,954.46 : 102,057.12 = 40,420.46 : x
  2. Step 2: Convert to fraction form
    73,954.46/102,057.12 = 40,420.46/x
  3. Step 3: Cross multiply
    73,954.46x = 102,057.12 × 40,420.46
  4. Step 4: Simplify right side
    73,954.46x = 4,125,195,736.68
  5. Step 5: Solve for x
    x = 4,125,195,736.68/73,954.46
  6. Step 6: Final answer
    x = 55,780.22

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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.