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Finding the Fourth Proportional to 105,211.85, 157,713.89 and 41,993.89

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Solution

The fourth proportional to 105,211.85, 157,713.89 and 41,993.89 is: 62,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,211.85 : 157,713.89 = 41,993.89 : x
  2. Step 2: Convert to fraction form
    105,211.85/157,713.89 = 41,993.89/x
  3. Step 3: Cross multiply
    105,211.85x = 157,713.89 × 41,993.89
  4. Step 4: Simplify right side
    105,211.85x = 6,623,019,458.83
  5. Step 5: Solve for x
    x = 6,623,019,458.83/105,211.85
  6. Step 6: Final answer
    x = 62,949.37

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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.