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Finding the Fourth Proportional to 193,071.96, 289,608.12 and 109,791

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Solution

The fourth proportional to 193,071.96, 289,608.12 and 109,791 is: 164,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,071.96 : 289,608.12 = 109,791 : x
  2. Step 2: Convert to fraction form
    193,071.96/289,608.12 = 109,791/x
  3. Step 3: Cross multiply
    193,071.96x = 289,608.12 × 109,791
  4. Step 4: Simplify right side
    193,071.96x = 31,796,365,102.92
  5. Step 5: Solve for x
    x = 31,796,365,102.92/193,071.96
  6. Step 6: Final answer
    x = 164,686.60

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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.