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Finding the Fourth Proportional to 199,418.31, 299,178.23 and 66,299.31

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Solution

The fourth proportional to 199,418.31, 299,178.23 and 66,299.31 is: 99,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,418.31 : 299,178.23 = 66,299.31 : x
  2. Step 2: Convert to fraction form
    199,418.31/299,178.23 = 66,299.31/x
  3. Step 3: Cross multiply
    199,418.31x = 299,178.23 × 66,299.31
  4. Step 4: Simplify right side
    199,418.31x = 19,835,309,884.52
  5. Step 5: Solve for x
    x = 19,835,309,884.52/199,418.31
  6. Step 6: Final answer
    x = 99,465.84

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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.