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Finding the Fourth Proportional to 190,263.88, 285,174.78 and 71,859.88

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Solution

The fourth proportional to 190,263.88, 285,174.78 and 71,859.88 is: 107,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,263.88 : 285,174.78 = 71,859.88 : x
  2. Step 2: Convert to fraction form
    190,263.88/285,174.78 = 71,859.88/x
  3. Step 3: Cross multiply
    190,263.88x = 285,174.78 × 71,859.88
  4. Step 4: Simplify right side
    190,263.88x = 20,492,625,469.83
  5. Step 5: Solve for x
    x = 20,492,625,469.83/190,263.88
  6. Step 6: Final answer
    x = 107,706.34

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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.