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Finding the Fourth Proportional to 258,167.28, 356,286.66 and 144,990

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Solution

The fourth proportional to 258,167.28, 356,286.66 and 144,990 is: 200,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,167.28 : 356,286.66 = 144,990 : x
  2. Step 2: Convert to fraction form
    258,167.28/356,286.66 = 144,990/x
  3. Step 3: Cross multiply
    258,167.28x = 356,286.66 × 144,990
  4. Step 4: Simplify right side
    258,167.28x = 51,658,002,833.40
  5. Step 5: Solve for x
    x = 51,658,002,833.40/258,167.28
  6. Step 6: Final answer
    x = 200,095.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.