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Finding the Fourth Proportional to 193,071.83, 289,599.84 and 80,723.21

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Solution

The fourth proportional to 193,071.83, 289,599.84 and 80,723.21 is: 121,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,071.83 : 289,599.84 = 80,723.21 : x
  2. Step 2: Convert to fraction form
    193,071.83/289,599.84 = 80,723.21/x
  3. Step 3: Cross multiply
    193,071.83x = 289,599.84 × 80,723.21
  4. Step 4: Simplify right side
    193,071.83x = 23,377,427,252.29
  5. Step 5: Solve for x
    x = 23,377,427,252.29/193,071.83
  6. Step 6: Final answer
    x = 121,081.51

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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.