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Finding the Fourth Proportional to 258,165.61, 387,400.11 and 108,394.38

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Solution

The fourth proportional to 258,165.61, 387,400.11 and 108,394.38 is: 162,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,165.61 : 387,400.11 = 108,394.38 : x
  2. Step 2: Convert to fraction form
    258,165.61/387,400.11 = 108,394.38/x
  3. Step 3: Cross multiply
    258,165.61x = 387,400.11 × 108,394.38
  4. Step 4: Simplify right side
    258,165.61x = 41,991,994,735.38
  5. Step 5: Solve for x
    x = 41,991,994,735.38/258,165.61
  6. Step 6: Final answer
    x = 162,655.26

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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.