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Finding the Fourth Proportional to 199,457.91, 299,243.16 and 81,214.11

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Solution

The fourth proportional to 199,457.91, 299,243.16 and 81,214.11 is: 121,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,457.91 : 299,243.16 = 81,214.11 : x
  2. Step 2: Convert to fraction form
    199,457.91/299,243.16 = 81,214.11/x
  3. Step 3: Cross multiply
    199,457.91x = 299,243.16 × 81,214.11
  4. Step 4: Simplify right side
    199,457.91x = 24,302,766,912.99
  5. Step 5: Solve for x
    x = 24,302,766,912.99/199,457.91
  6. Step 6: Final answer
    x = 121,844.09

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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.