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Finding the Fourth Proportional to 272,764.72, 409,191.16 and 80,658.64

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Solution

The fourth proportional to 272,764.72, 409,191.16 and 80,658.64 is: 121,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,764.72 : 409,191.16 = 80,658.64 : x
  2. Step 2: Convert to fraction form
    272,764.72/409,191.16 = 80,658.64/x
  3. Step 3: Cross multiply
    272,764.72x = 409,191.16 × 80,658.64
  4. Step 4: Simplify right side
    272,764.72x = 33,004,802,465.62
  5. Step 5: Solve for x
    x = 33,004,802,465.62/272,764.72
  6. Step 6: Final answer
    x = 121,000.99

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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.