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Finding the Fourth Proportional to 255,902.91, 383,771.20 and 85,078.64

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Solution

The fourth proportional to 255,902.91, 383,771.20 and 85,078.64 is: 127,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.91 : 383,771.20 = 85,078.64 : x
  2. Step 2: Convert to fraction form
    255,902.91/383,771.20 = 85,078.64/x
  3. Step 3: Cross multiply
    255,902.91x = 383,771.20 × 85,078.64
  4. Step 4: Simplify right side
    255,902.91x = 32,650,731,767.17
  5. Step 5: Solve for x
    x = 32,650,731,767.17/255,902.91
  6. Step 6: Final answer
    x = 127,590.31

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1.5x scale

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.