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Finding the Fourth Proportional to 201,992.72, 278,737.42 and 111,344

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Solution

The fourth proportional to 201,992.72, 278,737.42 and 111,344 is: 153,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,992.72 : 278,737.42 = 111,344 : x
  2. Step 2: Convert to fraction form
    201,992.72/278,737.42 = 111,344/x
  3. Step 3: Cross multiply
    201,992.72x = 278,737.42 × 111,344
  4. Step 4: Simplify right side
    201,992.72x = 31,035,739,292.48
  5. Step 5: Solve for x
    x = 31,035,739,292.48/201,992.72
  6. Step 6: Final answer
    x = 153,647.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.