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Finding the Fourth Proportional to 258,998.25, 387,766.95 and 137,142.66

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Solution

The fourth proportional to 258,998.25, 387,766.95 and 137,142.66 is: 205,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,998.25 : 387,766.95 = 137,142.66 : x
  2. Step 2: Convert to fraction form
    258,998.25/387,766.95 = 137,142.66/x
  3. Step 3: Cross multiply
    258,998.25x = 387,766.95 × 137,142.66
  4. Step 4: Simplify right side
    258,998.25x = 53,179,390,983.09
  5. Step 5: Solve for x
    x = 53,179,390,983.09/258,998.25
  6. Step 6: Final answer
    x = 205,327.22

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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.