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Finding the Fourth Proportional to 190,625.30, 285,738.44 and 64,221.86

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Solution

The fourth proportional to 190,625.30, 285,738.44 and 64,221.86 is: 96,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,625.30 : 285,738.44 = 64,221.86 : x
  2. Step 2: Convert to fraction form
    190,625.30/285,738.44 = 64,221.86/x
  3. Step 3: Cross multiply
    190,625.30x = 285,738.44 × 64,221.86
  4. Step 4: Simplify right side
    190,625.30x = 18,350,654,483.54
  5. Step 5: Solve for x
    x = 18,350,654,483.54/190,625.30
  6. Step 6: Final answer
    x = 96,265.58

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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.