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Finding the Fourth Proportional to 190,388.64, 285,703.92 and 111,660.96

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Solution

The fourth proportional to 190,388.64, 285,703.92 and 111,660.96 is: 167,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,388.64 : 285,703.92 = 111,660.96 : x
  2. Step 2: Convert to fraction form
    190,388.64/285,703.92 = 111,660.96/x
  3. Step 3: Cross multiply
    190,388.64x = 285,703.92 × 111,660.96
  4. Step 4: Simplify right side
    190,388.64x = 31,901,973,982.96
  5. Step 5: Solve for x
    x = 31,901,973,982.96/190,388.64
  6. Step 6: Final answer
    x = 167,562.38

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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.