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Finding the Fourth Proportional to 75,178.52, 103,745 and 41,187.68

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Solution

The fourth proportional to 75,178.52, 103,745 and 41,187.68 is: 56,838.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,178.52 : 103,745 = 41,187.68 : x
  2. Step 2: Convert to fraction form
    75,178.52/103,745 = 41,187.68/x
  3. Step 3: Cross multiply
    75,178.52x = 103,745 × 41,187.68
  4. Step 4: Simplify right side
    75,178.52x = 4,273,015,861.60
  5. Step 5: Solve for x
    x = 4,273,015,861.60/75,178.52
  6. Step 6: Final answer
    x = 56,838.25

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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.