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Finding the Fourth Proportional to 193,352.81, 290,043.08 and 80,919.84

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Solution

The fourth proportional to 193,352.81, 290,043.08 and 80,919.84 is: 121,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,352.81 : 290,043.08 = 80,919.84 : x
  2. Step 2: Convert to fraction form
    193,352.81/290,043.08 = 80,919.84/x
  3. Step 3: Cross multiply
    193,352.81x = 290,043.08 × 80,919.84
  4. Step 4: Simplify right side
    193,352.81x = 23,470,240,613.22
  5. Step 5: Solve for x
    x = 23,470,240,613.22/193,352.81
  6. Step 6: Final answer
    x = 121,385.57

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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.