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Finding the Fourth Proportional to 190,288, 262,597.44 and 105,410.56

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Solution

The fourth proportional to 190,288, 262,597.44 and 105,410.56 is: 145,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,288 : 262,597.44 = 105,410.56 : x
  2. Step 2: Convert to fraction form
    190,288/262,597.44 = 105,410.56/x
  3. Step 3: Cross multiply
    190,288x = 262,597.44 × 105,410.56
  4. Step 4: Simplify right side
    190,288x = 27,680,543,204.97
  5. Step 5: Solve for x
    x = 27,680,543,204.97/190,288
  6. Step 6: Final answer
    x = 145,466.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.