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Finding the Fourth Proportional to 258,714, 388,135.59 and 90,236.75

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Solution

The fourth proportional to 258,714, 388,135.59 and 90,236.75 is: 135,377.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,714 : 388,135.59 = 90,236.75 : x
  2. Step 2: Convert to fraction form
    258,714/388,135.59 = 90,236.75/x
  3. Step 3: Cross multiply
    258,714x = 388,135.59 × 90,236.75
  4. Step 4: Simplify right side
    258,714x = 35,024,094,200.93
  5. Step 5: Solve for x
    x = 35,024,094,200.93/258,714
  6. Step 6: Final answer
    x = 135,377.65

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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.