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Finding the Fourth Proportional to 255,265.75, 383,027.82 and 105,613.44

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Solution

The fourth proportional to 255,265.75, 383,027.82 and 105,613.44 is: 158,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,265.75 : 383,027.82 = 105,613.44 : x
  2. Step 2: Convert to fraction form
    255,265.75/383,027.82 = 105,613.44/x
  3. Step 3: Cross multiply
    255,265.75x = 383,027.82 × 105,613.44
  4. Step 4: Simplify right side
    255,265.75x = 40,452,885,685.90
  5. Step 5: Solve for x
    x = 40,452,885,685.90/255,265.75
  6. Step 6: Final answer
    x = 158,473.61

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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.