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Finding the Fourth Proportional to 199,898.42, 299,745.75 and 66,730.82

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Solution

The fourth proportional to 199,898.42, 299,745.75 and 66,730.82 is: 100,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,898.42 : 299,745.75 = 66,730.82 : x
  2. Step 2: Convert to fraction form
    199,898.42/299,745.75 = 66,730.82/x
  3. Step 3: Cross multiply
    199,898.42x = 299,745.75 × 66,730.82
  4. Step 4: Simplify right side
    199,898.42x = 20,002,279,689.02
  5. Step 5: Solve for x
    x = 20,002,279,689.02/199,898.42
  6. Step 6: Final answer
    x = 100,062.22

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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.