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Finding the Fourth Proportional to 193,805.52, 290,412.26 and 81,424.30

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Solution

The fourth proportional to 193,805.52, 290,412.26 and 81,424.30 is: 122,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,805.52 : 290,412.26 = 81,424.30 : x
  2. Step 2: Convert to fraction form
    193,805.52/290,412.26 = 81,424.30/x
  3. Step 3: Cross multiply
    193,805.52x = 290,412.26 × 81,424.30
  4. Step 4: Simplify right side
    193,805.52x = 23,646,614,574.80
  5. Step 5: Solve for x
    x = 23,646,614,574.80/193,805.52
  6. Step 6: Final answer
    x = 122,012.08

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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.