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Finding the Fourth Proportional to 258,906.56, 388,510.80 and 109,137.68

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Solution

The fourth proportional to 258,906.56, 388,510.80 and 109,137.68 is: 163,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,906.56 : 388,510.80 = 109,137.68 : x
  2. Step 2: Convert to fraction form
    258,906.56/388,510.80 = 109,137.68/x
  3. Step 3: Cross multiply
    258,906.56x = 388,510.80 × 109,137.68
  4. Step 4: Simplify right side
    258,906.56x = 42,401,167,366.94
  5. Step 5: Solve for x
    x = 42,401,167,366.94/258,906.56
  6. Step 6: Final answer
    x = 163,770.15

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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.