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Finding the Fourth Proportional to 199,649.64, 299,473.92 and 81,293.16

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Solution

The fourth proportional to 199,649.64, 299,473.92 and 81,293.16 is: 121,939.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,649.64 : 299,473.92 = 81,293.16 : x
  2. Step 2: Convert to fraction form
    199,649.64/299,473.92 = 81,293.16/x
  3. Step 3: Cross multiply
    199,649.64x = 299,473.92 × 81,293.16
  4. Step 4: Simplify right side
    199,649.64x = 24,345,181,294.39
  5. Step 5: Solve for x
    x = 24,345,181,294.39/199,649.64
  6. Step 6: Final answer
    x = 121,939.52

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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.