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Finding the Fourth Proportional to 190,644.49, 285,735.75 and 106,314.94

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Solution

The fourth proportional to 190,644.49, 285,735.75 and 106,314.94 is: 159,343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,644.49 : 285,735.75 = 106,314.94 : x
  2. Step 2: Convert to fraction form
    190,644.49/285,735.75 = 106,314.94/x
  3. Step 3: Cross multiply
    190,644.49x = 285,735.75 × 106,314.94
  4. Step 4: Simplify right side
    190,644.49x = 30,377,979,117.11
  5. Step 5: Solve for x
    x = 30,377,979,117.11/190,644.49
  6. Step 6: Final answer
    x = 159,343.60

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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.