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Finding the Fourth Proportional to 255,580.80, 383,445.24 and 105,793.44

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Solution

The fourth proportional to 255,580.80, 383,445.24 and 105,793.44 is: 158,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,580.80 : 383,445.24 = 105,793.44 : x
  2. Step 2: Convert to fraction form
    255,580.80/383,445.24 = 105,793.44/x
  3. Step 3: Cross multiply
    255,580.80x = 383,445.24 × 105,793.44
  4. Step 4: Simplify right side
    255,580.80x = 40,565,990,991.23
  5. Step 5: Solve for x
    x = 40,565,990,991.23/255,580.80
  6. Step 6: Final answer
    x = 158,720.81

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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.