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Finding the Fourth Proportional to 255,736.59, 383,715.54 and 137,269.59

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Solution

The fourth proportional to 255,736.59, 383,715.54 and 137,269.59 is: 205,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,736.59 : 383,715.54 = 137,269.59 : x
  2. Step 2: Convert to fraction form
    255,736.59/383,715.54 = 137,269.59/x
  3. Step 3: Cross multiply
    255,736.59x = 383,715.54 × 137,269.59
  4. Step 4: Simplify right side
    255,736.59x = 52,672,474,852.43
  5. Step 5: Solve for x
    x = 52,672,474,852.43/255,736.59
  6. Step 6: Final answer
    x = 205,963.78

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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.