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Finding the Fourth Proportional to 193,806.02, 290,412.98 and 81,424.78

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Solution

The fourth proportional to 193,806.02, 290,412.98 and 81,424.78 is: 122,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,806.02 : 290,412.98 = 81,424.78 : x
  2. Step 2: Convert to fraction form
    193,806.02/290,412.98 = 81,424.78/x
  3. Step 3: Cross multiply
    193,806.02x = 290,412.98 × 81,424.78
  4. Step 4: Simplify right side
    193,806.02x = 23,646,813,746.52
  5. Step 5: Solve for x
    x = 23,646,813,746.52/193,806.02
  6. Step 6: Final answer
    x = 122,012.79

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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.