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Finding the Fourth Proportional to 199,927.20, 299,404.80 and 106,226.40

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Solution

The fourth proportional to 199,927.20, 299,404.80 and 106,226.40 is: 159,081.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,927.20 : 299,404.80 = 106,226.40 : x
  2. Step 2: Convert to fraction form
    199,927.20/299,404.80 = 106,226.40/x
  3. Step 3: Cross multiply
    199,927.20x = 299,404.80 × 106,226.40
  4. Step 4: Simplify right side
    199,927.20x = 31,804,694,046.72
  5. Step 5: Solve for x
    x = 31,804,694,046.72/199,927.20
  6. Step 6: Final answer
    x = 159,081.38

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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.