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Finding the Fourth Proportional to 193,371.68, 290,071.49 and 80,938.82

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Solution

The fourth proportional to 193,371.68, 290,071.49 and 80,938.82 is: 121,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,371.68 : 290,071.49 = 80,938.82 : x
  2. Step 2: Convert to fraction form
    193,371.68/290,071.49 = 80,938.82/x
  3. Step 3: Cross multiply
    193,371.68x = 290,071.49 × 80,938.82
  4. Step 4: Simplify right side
    193,371.68x = 23,478,044,116.24
  5. Step 5: Solve for x
    x = 23,478,044,116.24/193,371.68
  6. Step 6: Final answer
    x = 121,414.08

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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.