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Finding the Fourth Proportional to 105,401.97, 158,119.47 and 45,447.48

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Solution

The fourth proportional to 105,401.97, 158,119.47 and 45,447.48 is: 68,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,401.97 : 158,119.47 = 45,447.48 : x
  2. Step 2: Convert to fraction form
    105,401.97/158,119.47 = 45,447.48/x
  3. Step 3: Cross multiply
    105,401.97x = 158,119.47 × 45,447.48
  4. Step 4: Simplify right side
    105,401.97x = 7,186,131,450.44
  5. Step 5: Solve for x
    x = 7,186,131,450.44/105,401.97
  6. Step 6: Final answer
    x = 68,178.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.