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Finding the Fourth Proportional to 75,362.27, 103,978.61 and 48,520.31

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Solution

The fourth proportional to 75,362.27, 103,978.61 and 48,520.31 is: 66,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,362.27 : 103,978.61 = 48,520.31 : x
  2. Step 2: Convert to fraction form
    75,362.27/103,978.61 = 48,520.31/x
  3. Step 3: Cross multiply
    75,362.27x = 103,978.61 × 48,520.31
  4. Step 4: Simplify right side
    75,362.27x = 5,045,073,628.07
  5. Step 5: Solve for x
    x = 5,045,073,628.07/75,362.27
  6. Step 6: Final answer
    x = 66,944.29

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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.