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Finding the Fourth Proportional to 255,003.78, 351,905.22 and 140,284.02

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Solution

The fourth proportional to 255,003.78, 351,905.22 and 140,284.02 is: 193,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,003.78 : 351,905.22 = 140,284.02 : x
  2. Step 2: Convert to fraction form
    255,003.78/351,905.22 = 140,284.02/x
  3. Step 3: Cross multiply
    255,003.78x = 351,905.22 × 140,284.02
  4. Step 4: Simplify right side
    255,003.78x = 49,366,678,920.58
  5. Step 5: Solve for x
    x = 49,366,678,920.58/255,003.78
  6. Step 6: Final answer
    x = 193,591.95

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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.