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Finding the Fourth Proportional to 64,498.78, 89,003.44 and 36,199

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Solution

The fourth proportional to 64,498.78, 89,003.44 and 36,199 is: 49,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498.78 : 89,003.44 = 36,199 : x
  2. Step 2: Convert to fraction form
    64,498.78/89,003.44 = 36,199/x
  3. Step 3: Cross multiply
    64,498.78x = 89,003.44 × 36,199
  4. Step 4: Simplify right side
    64,498.78x = 3,221,835,524.56
  5. Step 5: Solve for x
    x = 3,221,835,524.56/64,498.78
  6. Step 6: Final answer
    x = 49,951.88

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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.