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Finding the Fourth Proportional to 75,774, 104,568.12 and 42,240

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Solution

The fourth proportional to 75,774, 104,568.12 and 42,240 is: 58,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774 : 104,568.12 = 42,240 : x
  2. Step 2: Convert to fraction form
    75,774/104,568.12 = 42,240/x
  3. Step 3: Cross multiply
    75,774x = 104,568.12 × 42,240
  4. Step 4: Simplify right side
    75,774x = 4,416,957,388.80
  5. Step 5: Solve for x
    x = 4,416,957,388.80/75,774
  6. Step 6: Final answer
    x = 58,291.20

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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.