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Finding the Fourth Proportional to 75,137.68, 103,723.50 and 49,659.40

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Solution

The fourth proportional to 75,137.68, 103,723.50 and 49,659.40 is: 68,552.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,137.68 : 103,723.50 = 49,659.40 : x
  2. Step 2: Convert to fraction form
    75,137.68/103,723.50 = 49,659.40/x
  3. Step 3: Cross multiply
    75,137.68x = 103,723.50 × 49,659.40
  4. Step 4: Simplify right side
    75,137.68x = 5,150,846,775.90
  5. Step 5: Solve for x
    x = 5,150,846,775.90/75,137.68
  6. Step 6: Final answer
    x = 68,552.11

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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.