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Finding the Fourth Proportional to 109,553.88, 164,388.68 and 77,738.54

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Solution

The fourth proportional to 109,553.88, 164,388.68 and 77,738.54 is: 116,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,553.88 : 164,388.68 = 77,738.54 : x
  2. Step 2: Convert to fraction form
    109,553.88/164,388.68 = 77,738.54/x
  3. Step 3: Cross multiply
    109,553.88x = 164,388.68 × 77,738.54
  4. Step 4: Simplify right side
    109,553.88x = 12,779,335,153.78
  5. Step 5: Solve for x
    x = 12,779,335,153.78/109,553.88
  6. Step 6: Final answer
    x = 116,648.86

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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.