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Finding the Fourth Proportional to 258,987.33, 388,480.46 and 81,509.85

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Solution

The fourth proportional to 258,987.33, 388,480.46 and 81,509.85 is: 122,264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,987.33 : 388,480.46 = 81,509.85 : x
  2. Step 2: Convert to fraction form
    258,987.33/388,480.46 = 81,509.85/x
  3. Step 3: Cross multiply
    258,987.33x = 388,480.46 × 81,509.85
  4. Step 4: Simplify right side
    258,987.33x = 31,664,983,614.98
  5. Step 5: Solve for x
    x = 31,664,983,614.98/258,987.33
  6. Step 6: Final answer
    x = 122,264.61

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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.