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Finding the Fourth Proportional to 54,489, 75,195.50 and 32,978.47

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Solution

The fourth proportional to 54,489, 75,195.50 and 32,978.47 is: 45,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,489 : 75,195.50 = 32,978.47 : x
  2. Step 2: Convert to fraction form
    54,489/75,195.50 = 32,978.47/x
  3. Step 3: Cross multiply
    54,489x = 75,195.50 × 32,978.47
  4. Step 4: Simplify right side
    54,489x = 2,479,832,540.89
  5. Step 5: Solve for x
    x = 2,479,832,540.89/54,489
  6. Step 6: Final answer
    x = 45,510.70

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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.