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Finding the Fourth Proportional to 199,467.12, 299,111.88 and 73,074

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Solution

The fourth proportional to 199,467.12, 299,111.88 and 73,074 is: 109,578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,467.12 : 299,111.88 = 73,074 : x
  2. Step 2: Convert to fraction form
    199,467.12/299,111.88 = 73,074/x
  3. Step 3: Cross multiply
    199,467.12x = 299,111.88 × 73,074
  4. Step 4: Simplify right side
    199,467.12x = 21,857,301,519.12
  5. Step 5: Solve for x
    x = 21,857,301,519.12/199,467.12
  6. Step 6: Final answer
    x = 109,578.47

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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.