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Finding the Fourth Proportional to 258,605.22, 387,078.13 and 138,361.38

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Solution

The fourth proportional to 258,605.22, 387,078.13 and 138,361.38 is: 207,098.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,605.22 : 387,078.13 = 138,361.38 : x
  2. Step 2: Convert to fraction form
    258,605.22/387,078.13 = 138,361.38/x
  3. Step 3: Cross multiply
    258,605.22x = 387,078.13 × 138,361.38
  4. Step 4: Simplify right side
    258,605.22x = 53,556,664,234.62
  5. Step 5: Solve for x
    x = 53,556,664,234.62/258,605.22
  6. Step 6: Final answer
    x = 207,098.16

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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.