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Finding the Fourth Proportional to 75,421.74, 104,079.15 and 41,889.90

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Solution

The fourth proportional to 75,421.74, 104,079.15 and 41,889.90 is: 57,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421.74 : 104,079.15 = 41,889.90 : x
  2. Step 2: Convert to fraction form
    75,421.74/104,079.15 = 41,889.90/x
  3. Step 3: Cross multiply
    75,421.74x = 104,079.15 × 41,889.90
  4. Step 4: Simplify right side
    75,421.74x = 4,359,865,185.59
  5. Step 5: Solve for x
    x = 4,359,865,185.59/75,421.74
  6. Step 6: Final answer
    x = 57,806.48

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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.