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Finding the Fourth Proportional to 75,042, 103,561.20 and 41,508

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Solution

The fourth proportional to 75,042, 103,561.20 and 41,508 is: 57,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,042 : 103,561.20 = 41,508 : x
  2. Step 2: Convert to fraction form
    75,042/103,561.20 = 41,508/x
  3. Step 3: Cross multiply
    75,042x = 103,561.20 × 41,508
  4. Step 4: Simplify right side
    75,042x = 4,298,618,289.60
  5. Step 5: Solve for x
    x = 4,298,618,289.60/75,042
  6. Step 6: Final answer
    x = 57,282.83

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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.