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Finding the Fourth Proportional to 199,849.70, 299,118.45 and 155,234.90

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Solution

The fourth proportional to 199,849.70, 299,118.45 and 155,234.90 is: 232,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,849.70 : 299,118.45 = 155,234.90 : x
  2. Step 2: Convert to fraction form
    199,849.70/299,118.45 = 155,234.90/x
  3. Step 3: Cross multiply
    199,849.70x = 299,118.45 × 155,234.90
  4. Step 4: Simplify right side
    199,849.70x = 46,433,622,673.91
  5. Step 5: Solve for x
    x = 46,433,622,673.91/199,849.70
  6. Step 6: Final answer
    x = 232,342.72

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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.