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Finding the Fourth Proportional to 105,976.81, 146,211.81 and 65,675.86

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Solution

The fourth proportional to 105,976.81, 146,211.81 and 65,675.86 is: 90,610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,976.81 : 146,211.81 = 65,675.86 : x
  2. Step 2: Convert to fraction form
    105,976.81/146,211.81 = 65,675.86/x
  3. Step 3: Cross multiply
    105,976.81x = 146,211.81 × 65,675.86
  4. Step 4: Simplify right side
    105,976.81x = 9,602,586,729.44
  5. Step 5: Solve for x
    x = 9,602,586,729.44/105,976.81
  6. Step 6: Final answer
    x = 90,610.27

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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.