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Finding the Fourth Proportional to 75,695, 104,459.10 and 42,161

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Solution

The fourth proportional to 75,695, 104,459.10 and 42,161 is: 58,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,695 : 104,459.10 = 42,161 : x
  2. Step 2: Convert to fraction form
    75,695/104,459.10 = 42,161/x
  3. Step 3: Cross multiply
    75,695x = 104,459.10 × 42,161
  4. Step 4: Simplify right side
    75,695x = 4,404,100,115.10
  5. Step 5: Solve for x
    x = 4,404,100,115.10/75,695
  6. Step 6: Final answer
    x = 58,182.18

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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.