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Finding the Fourth Proportional to 75,318.38, 112,978.44 and 22,728.32

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Solution

The fourth proportional to 75,318.38, 112,978.44 and 22,728.32 is: 34,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,318.38 : 112,978.44 = 22,728.32 : x
  2. Step 2: Convert to fraction form
    75,318.38/112,978.44 = 22,728.32/x
  3. Step 3: Cross multiply
    75,318.38x = 112,978.44 × 22,728.32
  4. Step 4: Simplify right side
    75,318.38x = 2,567,810,137.42
  5. Step 5: Solve for x
    x = 2,567,810,137.42/75,318.38
  6. Step 6: Final answer
    x = 34,092.74

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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.