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Finding the Fourth Proportional to 255,712.26, 383,611.41 and 78,177.72

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Solution

The fourth proportional to 255,712.26, 383,611.41 and 78,177.72 is: 117,279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,712.26 : 383,611.41 = 78,177.72 : x
  2. Step 2: Convert to fraction form
    255,712.26/383,611.41 = 78,177.72/x
  3. Step 3: Cross multiply
    255,712.26x = 383,611.41 × 78,177.72
  4. Step 4: Simplify right side
    255,712.26x = 29,989,865,399.79
  5. Step 5: Solve for x
    x = 29,989,865,399.79/255,712.26
  6. Step 6: Final answer
    x = 117,279.73

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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.