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Finding the Fourth Proportional to 255,821.94, 383,812.83 and 87,346.26

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Solution

The fourth proportional to 255,821.94, 383,812.83 and 87,346.26 is: 131,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,821.94 : 383,812.83 = 87,346.26 : x
  2. Step 2: Convert to fraction form
    255,821.94/383,812.83 = 87,346.26/x
  3. Step 3: Cross multiply
    255,821.94x = 383,812.83 × 87,346.26
  4. Step 4: Simplify right side
    255,821.94x = 33,524,615,240.52
  5. Step 5: Solve for x
    x = 33,524,615,240.52/255,821.94
  6. Step 6: Final answer
    x = 131,046.68

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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.