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Finding the Fourth Proportional to 255,951.96, 383,983.97 and 78,472.82

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Solution

The fourth proportional to 255,951.96, 383,983.97 and 78,472.82 is: 117,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,951.96 : 383,983.97 = 78,472.82 : x
  2. Step 2: Convert to fraction form
    255,951.96/383,983.97 = 78,472.82/x
  3. Step 3: Cross multiply
    255,951.96x = 383,983.97 × 78,472.82
  4. Step 4: Simplify right side
    255,951.96x = 30,132,302,648.41
  5. Step 5: Solve for x
    x = 30,132,302,648.41/255,951.96
  6. Step 6: Final answer
    x = 117,726.40

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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.