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Finding the Fourth Proportional to 190,132.30, 285,213.30 and 84,961.90

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Solution

The fourth proportional to 190,132.30, 285,213.30 and 84,961.90 is: 127,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,132.30 : 285,213.30 = 84,961.90 : x
  2. Step 2: Convert to fraction form
    190,132.30/285,213.30 = 84,961.90/x
  3. Step 3: Cross multiply
    190,132.30x = 285,213.30 × 84,961.90
  4. Step 4: Simplify right side
    190,132.30x = 24,232,263,873.27
  5. Step 5: Solve for x
    x = 24,232,263,873.27/190,132.30
  6. Step 6: Final answer
    x = 127,449.49

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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.