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Finding the Fourth Proportional to 255,183.40, 382,806.38 and 86,731.48

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Solution

The fourth proportional to 255,183.40, 382,806.38 and 86,731.48 is: 130,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,183.40 : 382,806.38 = 86,731.48 : x
  2. Step 2: Convert to fraction form
    255,183.40/382,806.38 = 86,731.48/x
  3. Step 3: Cross multiply
    255,183.40x = 382,806.38 × 86,731.48
  4. Step 4: Simplify right side
    255,183.40x = 33,201,363,890.84
  5. Step 5: Solve for x
    x = 33,201,363,890.84/255,183.40
  6. Step 6: Final answer
    x = 130,107.85

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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.