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Finding the Fourth Proportional to 190,428.56, 262,780.98 and 105,540.56

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Solution

The fourth proportional to 190,428.56, 262,780.98 and 105,540.56 is: 145,640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,428.56 : 262,780.98 = 105,540.56 : x
  2. Step 2: Convert to fraction form
    190,428.56/262,780.98 = 105,540.56/x
  3. Step 3: Cross multiply
    190,428.56x = 262,780.98 × 105,540.56
  4. Step 4: Simplify right side
    190,428.56x = 27,734,051,786.55
  5. Step 5: Solve for x
    x = 27,734,051,786.55/190,428.56
  6. Step 6: Final answer
    x = 145,640.19

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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.