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Finding the Fourth Proportional to 193,028.52, 289,444.05 and 80,678.07

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Solution

The fourth proportional to 193,028.52, 289,444.05 and 80,678.07 is: 120,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,028.52 : 289,444.05 = 80,678.07 : x
  2. Step 2: Convert to fraction form
    193,028.52/289,444.05 = 80,678.07/x
  3. Step 3: Cross multiply
    193,028.52x = 289,444.05 × 80,678.07
  4. Step 4: Simplify right side
    193,028.52x = 23,351,788,252.29
  5. Step 5: Solve for x
    x = 23,351,788,252.29/193,028.52
  6. Step 6: Final answer
    x = 120,975.85

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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.