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Finding the Fourth Proportional to 73,568.49, 110,334.51 and 20,978.43

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Solution

The fourth proportional to 73,568.49, 110,334.51 and 20,978.43 is: 31,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,568.49 : 110,334.51 = 20,978.43 : x
  2. Step 2: Convert to fraction form
    73,568.49/110,334.51 = 20,978.43/x
  3. Step 3: Cross multiply
    73,568.49x = 110,334.51 × 20,978.43
  4. Step 4: Simplify right side
    73,568.49x = 2,314,644,794.62
  5. Step 5: Solve for x
    x = 2,314,644,794.62/73,568.49
  6. Step 6: Final answer
    x = 31,462.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.