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Finding the Fourth Proportional to 75,415.92, 104,062.38 and 43,578.66

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Solution

The fourth proportional to 75,415.92, 104,062.38 and 43,578.66 is: 60,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.92 : 104,062.38 = 43,578.66 : x
  2. Step 2: Convert to fraction form
    75,415.92/104,062.38 = 43,578.66/x
  3. Step 3: Cross multiply
    75,415.92x = 104,062.38 × 43,578.66
  4. Step 4: Simplify right side
    75,415.92x = 4,534,899,076.81
  5. Step 5: Solve for x
    x = 4,534,899,076.81/75,415.92
  6. Step 6: Final answer
    x = 60,131.85

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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.