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Finding the Fourth Proportional to 255,729.39, 383,704.69 and 137,262.32

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Solution

The fourth proportional to 255,729.39, 383,704.69 and 137,262.32 is: 205,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,729.39 : 383,704.69 = 137,262.32 : x
  2. Step 2: Convert to fraction form
    255,729.39/383,704.69 = 137,262.32/x
  3. Step 3: Cross multiply
    255,729.39x = 383,704.69 × 137,262.32
  4. Step 4: Simplify right side
    255,729.39x = 52,668,195,944.28
  5. Step 5: Solve for x
    x = 52,668,195,944.28/255,729.39
  6. Step 6: Final answer
    x = 205,952.85

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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.