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Finding the Fourth Proportional to 230,743.20, 345,920.40 and 119,935.20

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Solution

The fourth proportional to 230,743.20, 345,920.40 and 119,935.20 is: 179,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,743.20 : 345,920.40 = 119,935.20 : x
  2. Step 2: Convert to fraction form
    230,743.20/345,920.40 = 119,935.20/x
  3. Step 3: Cross multiply
    230,743.20x = 345,920.40 × 119,935.20
  4. Step 4: Simplify right side
    230,743.20x = 41,488,032,358.08
  5. Step 5: Solve for x
    x = 41,488,032,358.08/230,743.20
  6. Step 6: Final answer
    x = 179,801.76

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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.