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Finding the Fourth Proportional to 193,491.90, 290,349.96 and 81,162.12

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Solution

The fourth proportional to 193,491.90, 290,349.96 and 81,162.12 is: 121,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,491.90 : 290,349.96 = 81,162.12 : x
  2. Step 2: Convert to fraction form
    193,491.90/290,349.96 = 81,162.12/x
  3. Step 3: Cross multiply
    193,491.90x = 290,349.96 × 81,162.12
  4. Step 4: Simplify right side
    193,491.90x = 23,565,418,295.52
  5. Step 5: Solve for x
    x = 23,565,418,295.52/193,491.90
  6. Step 6: Final answer
    x = 121,790.21

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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.