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Finding the Fourth Proportional to 272,744.91, 409,181.73 and 85,756.41

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Solution

The fourth proportional to 272,744.91, 409,181.73 and 85,756.41 is: 128,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,744.91 : 409,181.73 = 85,756.41 : x
  2. Step 2: Convert to fraction form
    272,744.91/409,181.73 = 85,756.41/x
  3. Step 3: Cross multiply
    272,744.91x = 409,181.73 × 85,756.41
  4. Step 4: Simplify right side
    272,744.91x = 35,089,956,202.39
  5. Step 5: Solve for x
    x = 35,089,956,202.39/272,744.91
  6. Step 6: Final answer
    x = 128,654.85

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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.