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Finding the Fourth Proportional to 199,736.64, 299,649.60 and 75,078.72

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Solution

The fourth proportional to 199,736.64, 299,649.60 and 75,078.72 is: 112,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,736.64 : 299,649.60 = 75,078.72 : x
  2. Step 2: Convert to fraction form
    199,736.64/299,649.60 = 75,078.72/x
  3. Step 3: Cross multiply
    199,736.64x = 299,649.60 × 75,078.72
  4. Step 4: Simplify right side
    199,736.64x = 22,497,308,416.51
  5. Step 5: Solve for x
    x = 22,497,308,416.51/199,736.64
  6. Step 6: Final answer
    x = 112,634.86

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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.