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Finding the Fourth Proportional to 75,407.13, 104,057.80 and 41,409

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Solution

The fourth proportional to 75,407.13, 104,057.80 and 41,409 is: 57,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,407.13 : 104,057.80 = 41,409 : x
  2. Step 2: Convert to fraction form
    75,407.13/104,057.80 = 41,409/x
  3. Step 3: Cross multiply
    75,407.13x = 104,057.80 × 41,409
  4. Step 4: Simplify right side
    75,407.13x = 4,308,929,336.68
  5. Step 5: Solve for x
    x = 4,308,929,336.68/75,407.13
  6. Step 6: Final answer
    x = 57,142.20

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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.