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Finding the Fourth Proportional to 73,568.65, 110,353.99 and 20,978.12

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Solution

The fourth proportional to 73,568.65, 110,353.99 and 20,978.12 is: 31,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,568.65 : 110,353.99 = 20,978.12 : x
  2. Step 2: Convert to fraction form
    73,568.65/110,353.99 = 20,978.12/x
  3. Step 3: Cross multiply
    73,568.65x = 110,353.99 × 20,978.12
  4. Step 4: Simplify right side
    73,568.65x = 2,315,019,468.14
  5. Step 5: Solve for x
    x = 2,315,019,468.14/73,568.65
  6. Step 6: Final answer
    x = 31,467.47

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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.