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Finding the Fourth Proportional to 190,269, 285,392.57 and 57,146.31

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Solution

The fourth proportional to 190,269, 285,392.57 and 57,146.31 is: 85,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,269 : 285,392.57 = 57,146.31 : x
  2. Step 2: Convert to fraction form
    190,269/285,392.57 = 57,146.31/x
  3. Step 3: Cross multiply
    190,269x = 285,392.57 × 57,146.31
  4. Step 4: Simplify right side
    190,269x = 16,309,131,991.19
  5. Step 5: Solve for x
    x = 16,309,131,991.19/190,269
  6. Step 6: Final answer
    x = 85,716.18

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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.