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Finding the Fourth Proportional to 258,732.38, 388,160.84 and 109,015.49

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Solution

The fourth proportional to 258,732.38, 388,160.84 and 109,015.49 is: 163,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,732.38 : 388,160.84 = 109,015.49 : x
  2. Step 2: Convert to fraction form
    258,732.38/388,160.84 = 109,015.49/x
  3. Step 3: Cross multiply
    258,732.38x = 388,160.84 × 109,015.49
  4. Step 4: Simplify right side
    258,732.38x = 42,315,545,414.35
  5. Step 5: Solve for x
    x = 42,315,545,414.35/258,732.38
  6. Step 6: Final answer
    x = 163,549.48

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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.