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Finding the Fourth Proportional to 193,833.72, 290,789.64 and 69,171.48

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Solution

The fourth proportional to 193,833.72, 290,789.64 and 69,171.48 is: 103,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,833.72 : 290,789.64 = 69,171.48 : x
  2. Step 2: Convert to fraction form
    193,833.72/290,789.64 = 69,171.48/x
  3. Step 3: Cross multiply
    193,833.72x = 290,789.64 × 69,171.48
  4. Step 4: Simplify right side
    193,833.72x = 20,114,349,767.47
  5. Step 5: Solve for x
    x = 20,114,349,767.47/193,833.72
  6. Step 6: Final answer
    x = 103,771.16

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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.