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Finding the Fourth Proportional to 258,994.26, 388,524.20 and 72,005.76

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Solution

The fourth proportional to 258,994.26, 388,524.20 and 72,005.76 is: 108,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,994.26 : 388,524.20 = 72,005.76 : x
  2. Step 2: Convert to fraction form
    258,994.26/388,524.20 = 72,005.76/x
  3. Step 3: Cross multiply
    258,994.26x = 388,524.20 × 72,005.76
  4. Step 4: Simplify right side
    258,994.26x = 27,975,979,939.36
  5. Step 5: Solve for x
    x = 27,975,979,939.36/258,994.26
  6. Step 6: Final answer
    x = 108,017.76

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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.