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Finding the Fourth Proportional to 190,105.90, 284,928.45 and 84,813.10

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Solution

The fourth proportional to 190,105.90, 284,928.45 and 84,813.10 is: 127,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,105.90 : 284,928.45 = 84,813.10 : x
  2. Step 2: Convert to fraction form
    190,105.90/284,928.45 = 84,813.10/x
  3. Step 3: Cross multiply
    190,105.90x = 284,928.45 × 84,813.10
  4. Step 4: Simplify right side
    190,105.90x = 24,165,665,122.70
  5. Step 5: Solve for x
    x = 24,165,665,122.70/190,105.90
  6. Step 6: Final answer
    x = 127,116.86

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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.