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Finding the Fourth Proportional to 190,620, 285,930 and 130,589.28

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Solution

The fourth proportional to 190,620, 285,930 and 130,589.28 is: 195,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,620 : 285,930 = 130,589.28 : x
  2. Step 2: Convert to fraction form
    190,620/285,930 = 130,589.28/x
  3. Step 3: Cross multiply
    190,620x = 285,930 × 130,589.28
  4. Step 4: Simplify right side
    190,620x = 37,339,392,830.40
  5. Step 5: Solve for x
    x = 37,339,392,830.40/190,620
  6. Step 6: Final answer
    x = 195,883.92

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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.