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Finding the Fourth Proportional to 190,295, 285,431.52 and 57,172.40

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Solution

The fourth proportional to 190,295, 285,431.52 and 57,172.40 is: 85,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,295 : 285,431.52 = 57,172.40 : x
  2. Step 2: Convert to fraction form
    190,295/285,431.52 = 57,172.40/x
  3. Step 3: Cross multiply
    190,295x = 285,431.52 × 57,172.40
  4. Step 4: Simplify right side
    190,295x = 16,318,805,034.05
  5. Step 5: Solve for x
    x = 16,318,805,034.05/190,295
  6. Step 6: Final answer
    x = 85,755.30

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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.