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Finding the Fourth Proportional to 255,704.75, 383,667.74 and 137,237.69

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Solution

The fourth proportional to 255,704.75, 383,667.74 and 137,237.69 is: 205,915.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,704.75 : 383,667.74 = 137,237.69 : x
  2. Step 2: Convert to fraction form
    255,704.75/383,667.74 = 137,237.69/x
  3. Step 3: Cross multiply
    255,704.75x = 383,667.74 × 137,237.69
  4. Step 4: Simplify right side
    255,704.75x = 52,653,675,152.74
  5. Step 5: Solve for x
    x = 52,653,675,152.74/255,704.75
  6. Step 6: Final answer
    x = 205,915.91

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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.