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Finding the Fourth Proportional to 193,568.80, 290,122.80 and 81,248.80

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Solution

The fourth proportional to 193,568.80, 290,122.80 and 81,248.80 is: 121,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,568.80 : 290,122.80 = 81,248.80 : x
  2. Step 2: Convert to fraction form
    193,568.80/290,122.80 = 81,248.80/x
  3. Step 3: Cross multiply
    193,568.80x = 290,122.80 × 81,248.80
  4. Step 4: Simplify right side
    193,568.80x = 23,572,129,352.64
  5. Step 5: Solve for x
    x = 23,572,129,352.64/193,568.80
  6. Step 6: Final answer
    x = 121,776.49

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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.