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Finding the Fourth Proportional to 193,371.68, 290,071.50 and 80,938.76

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Solution

The fourth proportional to 193,371.68, 290,071.50 and 80,938.76 is: 121,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,371.68 : 290,071.50 = 80,938.76 : x
  2. Step 2: Convert to fraction form
    193,371.68/290,071.50 = 80,938.76/x
  3. Step 3: Cross multiply
    193,371.68x = 290,071.50 × 80,938.76
  4. Step 4: Simplify right side
    193,371.68x = 23,478,027,521.34
  5. Step 5: Solve for x
    x = 23,478,027,521.34/193,371.68
  6. Step 6: Final answer
    x = 121,413.99

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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.