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Finding the Fourth Proportional to 56,414.25, 84,660.26 and 19,478.25

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Solution

The fourth proportional to 56,414.25, 84,660.26 and 19,478.25 is: 29,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414.25 : 84,660.26 = 19,478.25 : x
  2. Step 2: Convert to fraction form
    56,414.25/84,660.26 = 19,478.25/x
  3. Step 3: Cross multiply
    56,414.25x = 84,660.26 × 19,478.25
  4. Step 4: Simplify right side
    56,414.25x = 1,649,033,611.95
  5. Step 5: Solve for x
    x = 1,649,033,611.95/56,414.25
  6. Step 6: Final answer
    x = 29,230.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.