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Finding the Fourth Proportional to 75,489.86, 104,079.92 and 47,185.22

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Solution

The fourth proportional to 75,489.86, 104,079.92 and 47,185.22 is: 65,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,489.86 : 104,079.92 = 47,185.22 : x
  2. Step 2: Convert to fraction form
    75,489.86/104,079.92 = 47,185.22/x
  3. Step 3: Cross multiply
    75,489.86x = 104,079.92 × 47,185.22
  4. Step 4: Simplify right side
    75,489.86x = 4,911,033,922.78
  5. Step 5: Solve for x
    x = 4,911,033,922.78/75,489.86
  6. Step 6: Final answer
    x = 65,055.54

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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.