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Finding the Fourth Proportional to 193,687.47, 290,523.29 and 53,442.51

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Solution

The fourth proportional to 193,687.47, 290,523.29 and 53,442.51 is: 80,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,687.47 : 290,523.29 = 53,442.51 : x
  2. Step 2: Convert to fraction form
    193,687.47/290,523.29 = 53,442.51/x
  3. Step 3: Cross multiply
    193,687.47x = 290,523.29 × 53,442.51
  4. Step 4: Simplify right side
    193,687.47x = 15,526,293,563.85
  5. Step 5: Solve for x
    x = 15,526,293,563.85/193,687.47
  6. Step 6: Final answer
    x = 80,161.58

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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.