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Finding the Fourth Proportional to 255,780.54, 383,781.36 and 137,313.54

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Solution

The fourth proportional to 255,780.54, 383,781.36 and 137,313.54 is: 206,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,780.54 : 383,781.36 = 137,313.54 : x
  2. Step 2: Convert to fraction form
    255,780.54/383,781.36 = 137,313.54/x
  3. Step 3: Cross multiply
    255,780.54x = 383,781.36 × 137,313.54
  4. Step 4: Simplify right side
    255,780.54x = 52,698,377,127.61
  5. Step 5: Solve for x
    x = 52,698,377,127.61/255,780.54
  6. Step 6: Final answer
    x = 206,029.66

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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.