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Finding the Fourth Proportional to 190,872.40, 263,402.40 and 105,989.68

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Solution

The fourth proportional to 190,872.40, 263,402.40 and 105,989.68 is: 146,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,872.40 : 263,402.40 = 105,989.68 : x
  2. Step 2: Convert to fraction form
    190,872.40/263,402.40 = 105,989.68/x
  3. Step 3: Cross multiply
    190,872.40x = 263,402.40 × 105,989.68
  4. Step 4: Simplify right side
    190,872.40x = 27,917,936,087.23
  5. Step 5: Solve for x
    x = 27,917,936,087.23/190,872.40
  6. Step 6: Final answer
    x = 146,264.92

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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.