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Finding the Fourth Proportional to 75,990, 104,866.24 and 42,456

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Solution

The fourth proportional to 75,990, 104,866.24 and 42,456 is: 58,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,990 : 104,866.24 = 42,456 : x
  2. Step 2: Convert to fraction form
    75,990/104,866.24 = 42,456/x
  3. Step 3: Cross multiply
    75,990x = 104,866.24 × 42,456
  4. Step 4: Simplify right side
    75,990x = 4,452,201,085.44
  5. Step 5: Solve for x
    x = 4,452,201,085.44/75,990
  6. Step 6: Final answer
    x = 58,589.30

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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.