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Finding the Fourth Proportional to 206,638.96, 309,917.63 and 56,840.60

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Solution

The fourth proportional to 206,638.96, 309,917.63 and 56,840.60 is: 85,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,638.96 : 309,917.63 = 56,840.60 : x
  2. Step 2: Convert to fraction form
    206,638.96/309,917.63 = 56,840.60/x
  3. Step 3: Cross multiply
    206,638.96x = 309,917.63 × 56,840.60
  4. Step 4: Simplify right side
    206,638.96x = 17,615,904,039.78
  5. Step 5: Solve for x
    x = 17,615,904,039.78/206,638.96
  6. Step 6: Final answer
    x = 85,249.67

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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.