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Finding the Fourth Proportional to 75,305.96, 103,991.34 and 48,495.56

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Solution

The fourth proportional to 75,305.96, 103,991.34 and 48,495.56 is: 66,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305.96 : 103,991.34 = 48,495.56 : x
  2. Step 2: Convert to fraction form
    75,305.96/103,991.34 = 48,495.56/x
  3. Step 3: Cross multiply
    75,305.96x = 103,991.34 × 48,495.56
  4. Step 4: Simplify right side
    75,305.96x = 5,043,118,268.45
  5. Step 5: Solve for x
    x = 5,043,118,268.45/75,305.96
  6. Step 6: Final answer
    x = 66,968.38

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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.