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Finding the Fourth Proportional to 75,400, 104,053.36 and 41,411.68

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Solution

The fourth proportional to 75,400, 104,053.36 and 41,411.68 is: 57,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,400 : 104,053.36 = 41,411.68 : x
  2. Step 2: Convert to fraction form
    75,400/104,053.36 = 41,411.68/x
  3. Step 3: Cross multiply
    75,400x = 104,053.36 × 41,411.68
  4. Step 4: Simplify right side
    75,400x = 4,309,024,447.24
  5. Step 5: Solve for x
    x = 4,309,024,447.24/75,400
  6. Step 6: Final answer
    x = 57,148.87

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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.