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Finding the Fourth Proportional to 258,994.33, 388,490.94 and 81,516.85

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Solution

The fourth proportional to 258,994.33, 388,490.94 and 81,516.85 is: 122,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,994.33 : 388,490.94 = 81,516.85 : x
  2. Step 2: Convert to fraction form
    258,994.33/388,490.94 = 81,516.85/x
  3. Step 3: Cross multiply
    258,994.33x = 388,490.94 × 81,516.85
  4. Step 4: Simplify right side
    258,994.33x = 31,668,557,682.34
  5. Step 5: Solve for x
    x = 31,668,557,682.34/258,994.33
  6. Step 6: Final answer
    x = 122,275.10

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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.