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Finding the Fourth Proportional to 255,919.15, 383,878.68 and 137,427.49

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Solution

The fourth proportional to 255,919.15, 383,878.68 and 137,427.49 is: 206,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,919.15 : 383,878.68 = 137,427.49 : x
  2. Step 2: Convert to fraction form
    255,919.15/383,878.68 = 137,427.49/x
  3. Step 3: Cross multiply
    255,919.15x = 383,878.68 × 137,427.49
  4. Step 4: Simplify right side
    255,919.15x = 52,755,483,456.91
  5. Step 5: Solve for x
    x = 52,755,483,456.91/255,919.15
  6. Step 6: Final answer
    x = 206,141.21

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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.