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Finding the Fourth Proportional to 190,731, 263,214.54 and 105,855.96

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Solution

The fourth proportional to 190,731, 263,214.54 and 105,855.96 is: 146,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,731 : 263,214.54 = 105,855.96 : x
  2. Step 2: Convert to fraction form
    190,731/263,214.54 = 105,855.96/x
  3. Step 3: Cross multiply
    190,731x = 263,214.54 × 105,855.96
  4. Step 4: Simplify right side
    190,731x = 27,862,827,817.66
  5. Step 5: Solve for x
    x = 27,862,827,817.66/190,731
  6. Step 6: Final answer
    x = 146,084.42

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