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Finding the Fourth Proportional to 193,145.70, 290,046.60 and 143,282.10

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Solution

The fourth proportional to 193,145.70, 290,046.60 and 143,282.10 is: 215,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,145.70 : 290,046.60 = 143,282.10 : x
  2. Step 2: Convert to fraction form
    193,145.70/290,046.60 = 143,282.10/x
  3. Step 3: Cross multiply
    193,145.70x = 290,046.60 × 143,282.10
  4. Step 4: Simplify right side
    193,145.70x = 41,558,485,945.86
  5. Step 5: Solve for x
    x = 41,558,485,945.86/193,145.70
  6. Step 6: Final answer
    x = 215,166.51

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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.