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Finding the Fourth Proportional to 258,819.12, 388,228.56 and 71,830.56

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Solution

The fourth proportional to 258,819.12, 388,228.56 and 71,830.56 is: 107,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,819.12 : 388,228.56 = 71,830.56 : x
  2. Step 2: Convert to fraction form
    258,819.12/388,228.56 = 71,830.56/x
  3. Step 3: Cross multiply
    258,819.12x = 388,228.56 × 71,830.56
  4. Step 4: Simplify right side
    258,819.12x = 27,886,674,872.79
  5. Step 5: Solve for x
    x = 27,886,674,872.79/258,819.12
  6. Step 6: Final answer
    x = 107,745.81

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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.