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Finding the Fourth Proportional to 75,578.54, 104,312.84 and 50,039.87

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Solution

The fourth proportional to 75,578.54, 104,312.84 and 50,039.87 is: 69,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578.54 : 104,312.84 = 50,039.87 : x
  2. Step 2: Convert to fraction form
    75,578.54/104,312.84 = 50,039.87/x
  3. Step 3: Cross multiply
    75,578.54x = 104,312.84 × 50,039.87
  4. Step 4: Simplify right side
    75,578.54x = 5,219,800,181.17
  5. Step 5: Solve for x
    x = 5,219,800,181.17/75,578.54
  6. Step 6: Final answer
    x = 69,064.59

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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.