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Finding the Fourth Proportional to 255,103.84, 352,046.50 and 140,395.69

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Solution

The fourth proportional to 255,103.84, 352,046.50 and 140,395.69 is: 193,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,103.84 : 352,046.50 = 140,395.69 : x
  2. Step 2: Convert to fraction form
    255,103.84/352,046.50 = 140,395.69/x
  3. Step 3: Cross multiply
    255,103.84x = 352,046.50 × 140,395.69
  4. Step 4: Simplify right side
    255,103.84x = 49,425,811,279.59
  5. Step 5: Solve for x
    x = 49,425,811,279.59/255,103.84
  6. Step 6: Final answer
    x = 193,747.81

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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.