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Finding the Fourth Proportional to 258,827.80, 388,083.30 and 100,874.20

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Solution

The fourth proportional to 258,827.80, 388,083.30 and 100,874.20 is: 151,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,827.80 : 388,083.30 = 100,874.20 : x
  2. Step 2: Convert to fraction form
    258,827.80/388,083.30 = 100,874.20/x
  3. Step 3: Cross multiply
    258,827.80x = 388,083.30 × 100,874.20
  4. Step 4: Simplify right side
    258,827.80x = 39,147,592,420.86
  5. Step 5: Solve for x
    x = 39,147,592,420.86/258,827.80
  6. Step 6: Final answer
    x = 151,249.57

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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.