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Finding the Fourth Proportional to 193,471.78, 290,101.11 and 103,619.80

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Solution

The fourth proportional to 193,471.78, 290,101.11 and 103,619.80 is: 155,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,471.78 : 290,101.11 = 103,619.80 : x
  2. Step 2: Convert to fraction form
    193,471.78/290,101.11 = 103,619.80/x
  3. Step 3: Cross multiply
    193,471.78x = 290,101.11 × 103,619.80
  4. Step 4: Simplify right side
    193,471.78x = 30,060,217,547.47
  5. Step 5: Solve for x
    x = 30,060,217,547.47/193,471.78
  6. Step 6: Final answer
    x = 155,372.62

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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.