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Finding the Fourth Proportional to 81,744.32, 122,590.56 and 34,984.64

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Solution

The fourth proportional to 81,744.32, 122,590.56 and 34,984.64 is: 52,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,744.32 : 122,590.56 = 34,984.64 : x
  2. Step 2: Convert to fraction form
    81,744.32/122,590.56 = 34,984.64/x
  3. Step 3: Cross multiply
    81,744.32x = 122,590.56 × 34,984.64
  4. Step 4: Simplify right side
    81,744.32x = 4,288,786,609.00
  5. Step 5: Solve for x
    x = 4,288,786,609.00/81,744.32
  6. Step 6: Final answer
    x = 52,465.87

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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.