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Finding the Fourth Proportional to 255,387.60, 383,121.90 and 77,853.96

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Solution

The fourth proportional to 255,387.60, 383,121.90 and 77,853.96 is: 116,793.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,387.60 : 383,121.90 = 77,853.96 : x
  2. Step 2: Convert to fraction form
    255,387.60/383,121.90 = 77,853.96/x
  3. Step 3: Cross multiply
    255,387.60x = 383,121.90 × 77,853.96
  4. Step 4: Simplify right side
    255,387.60x = 29,827,557,077.72
  5. Step 5: Solve for x
    x = 29,827,557,077.72/255,387.60
  6. Step 6: Final answer
    x = 116,793.29

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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.