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Finding the Fourth Proportional to 190,275, 262,579.50 and 105,397.54

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Solution

The fourth proportional to 190,275, 262,579.50 and 105,397.54 is: 145,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,275 : 262,579.50 = 105,397.54 : x
  2. Step 2: Convert to fraction form
    190,275/262,579.50 = 105,397.54/x
  3. Step 3: Cross multiply
    190,275x = 262,579.50 × 105,397.54
  4. Step 4: Simplify right side
    190,275x = 27,675,233,354.43
  5. Step 5: Solve for x
    x = 27,675,233,354.43/190,275
  6. Step 6: Final answer
    x = 145,448.61

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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.