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Finding the Fourth Proportional to 258,205.92, 356,357.52 and 145,028.67

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Solution

The fourth proportional to 258,205.92, 356,357.52 and 145,028.67 is: 200,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,205.92 : 356,357.52 = 145,028.67 : x
  2. Step 2: Convert to fraction form
    258,205.92/356,357.52 = 145,028.67/x
  3. Step 3: Cross multiply
    258,205.92x = 356,357.52 × 145,028.67
  4. Step 4: Simplify right side
    258,205.92x = 51,682,057,170.10
  5. Step 5: Solve for x
    x = 51,682,057,170.10/258,205.92
  6. Step 6: Final answer
    x = 200,158.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.