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Finding the Fourth Proportional to 199,791.28, 299,730.72 and 75,132.24

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Solution

The fourth proportional to 199,791.28, 299,730.72 and 75,132.24 is: 112,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,791.28 : 299,730.72 = 75,132.24 : x
  2. Step 2: Convert to fraction form
    199,791.28/299,730.72 = 75,132.24/x
  3. Step 3: Cross multiply
    199,791.28x = 299,730.72 × 75,132.24
  4. Step 4: Simplify right side
    199,791.28x = 22,519,440,390.41
  5. Step 5: Solve for x
    x = 22,519,440,390.41/199,791.28
  6. Step 6: Final answer
    x = 112,714.83

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1.5x scale

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.