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Finding the Fourth Proportional to 189,481.68, 284,055.27 and 77,255.78

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Solution

The fourth proportional to 189,481.68, 284,055.27 and 77,255.78 is: 115,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,481.68 : 284,055.27 = 77,255.78 : x
  2. Step 2: Convert to fraction form
    189,481.68/284,055.27 = 77,255.78/x
  3. Step 3: Cross multiply
    189,481.68x = 284,055.27 × 77,255.78
  4. Step 4: Simplify right side
    189,481.68x = 21,944,910,026.68
  5. Step 5: Solve for x
    x = 21,944,910,026.68/189,481.68
  6. Step 6: Final answer
    x = 115,815.47

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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.