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Finding the Fourth Proportional to 75,636, 104,377.68 and 42,104.16

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Solution

The fourth proportional to 75,636, 104,377.68 and 42,104.16 is: 58,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,636 : 104,377.68 = 42,104.16 : x
  2. Step 2: Convert to fraction form
    75,636/104,377.68 = 42,104.16/x
  3. Step 3: Cross multiply
    75,636x = 104,377.68 × 42,104.16
  4. Step 4: Simplify right side
    75,636x = 4,394,734,539.15
  5. Step 5: Solve for x
    x = 4,394,734,539.15/75,636
  6. Step 6: Final answer
    x = 58,103.74

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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.