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Finding the Fourth Proportional to 345,381, 518,100.84 and 96,063

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Solution

The fourth proportional to 345,381, 518,100.84 and 96,063 is: 144,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,381 : 518,100.84 = 96,063 : x
  2. Step 2: Convert to fraction form
    345,381/518,100.84 = 96,063/x
  3. Step 3: Cross multiply
    345,381x = 518,100.84 × 96,063
  4. Step 4: Simplify right side
    345,381x = 49,770,320,992.92
  5. Step 5: Solve for x
    x = 49,770,320,992.92/345,381
  6. Step 6: Final answer
    x = 144,102.66

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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.