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Finding the Fourth Proportional to 199,435.80, 299,328.66 and 110,789.40

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Solution

The fourth proportional to 199,435.80, 299,328.66 and 110,789.40 is: 166,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,435.80 : 299,328.66 = 110,789.40 : x
  2. Step 2: Convert to fraction form
    199,435.80/299,328.66 = 110,789.40/x
  3. Step 3: Cross multiply
    199,435.80x = 299,328.66 × 110,789.40
  4. Step 4: Simplify right side
    199,435.80x = 33,162,442,644.20
  5. Step 5: Solve for x
    x = 33,162,442,644.20/199,435.80
  6. Step 6: Final answer
    x = 166,281.29

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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.