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Finding the Fourth Proportional to 77,257.48, 115,887.32 and 21,853.48

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Solution

The fourth proportional to 77,257.48, 115,887.32 and 21,853.48 is: 32,780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,257.48 : 115,887.32 = 21,853.48 : x
  2. Step 2: Convert to fraction form
    77,257.48/115,887.32 = 21,853.48/x
  3. Step 3: Cross multiply
    77,257.48x = 115,887.32 × 21,853.48
  4. Step 4: Simplify right side
    77,257.48x = 2,532,541,229.87
  5. Step 5: Solve for x
    x = 2,532,541,229.87/77,257.48
  6. Step 6: Final answer
    x = 32,780.53

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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.