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Finding the Fourth Proportional to 122,295.81, 168,768.73 and 71,343.78

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Solution

The fourth proportional to 122,295.81, 168,768.73 and 71,343.78 is: 98,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,295.81 : 168,768.73 = 71,343.78 : x
  2. Step 2: Convert to fraction form
    122,295.81/168,768.73 = 71,343.78/x
  3. Step 3: Cross multiply
    122,295.81x = 168,768.73 × 71,343.78
  4. Step 4: Simplify right side
    122,295.81x = 12,040,599,144.00
  5. Step 5: Solve for x
    x = 12,040,599,144.00/122,295.81
  6. Step 6: Final answer
    x = 98,454.72

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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.