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Finding the Fourth Proportional to 258,997.80, 388,496.70 and 72,009.30

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Solution

The fourth proportional to 258,997.80, 388,496.70 and 72,009.30 is: 108,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,997.80 : 388,496.70 = 72,009.30 : x
  2. Step 2: Convert to fraction form
    258,997.80/388,496.70 = 72,009.30/x
  3. Step 3: Cross multiply
    258,997.80x = 388,496.70 × 72,009.30
  4. Step 4: Simplify right side
    258,997.80x = 27,975,375,419.31
  5. Step 5: Solve for x
    x = 27,975,375,419.31/258,997.80
  6. Step 6: Final answer
    x = 108,013.95

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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.