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Finding the Fourth Proportional to 258,786.45, 387,948.81 and 100,978.20

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Solution

The fourth proportional to 258,786.45, 387,948.81 and 100,978.20 is: 151,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,786.45 : 387,948.81 = 100,978.20 : x
  2. Step 2: Convert to fraction form
    258,786.45/387,948.81 = 100,978.20/x
  3. Step 3: Cross multiply
    258,786.45x = 387,948.81 × 100,978.20
  4. Step 4: Simplify right side
    258,786.45x = 39,174,372,525.94
  5. Step 5: Solve for x
    x = 39,174,372,525.94/258,786.45
  6. Step 6: Final answer
    x = 151,377.22

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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.