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Finding the Fourth Proportional to 123,722.56, 185,583.75 and 71,098.48

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Solution

The fourth proportional to 123,722.56, 185,583.75 and 71,098.48 is: 106,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,722.56 : 185,583.75 = 71,098.48 : x
  2. Step 2: Convert to fraction form
    123,722.56/185,583.75 = 71,098.48/x
  3. Step 3: Cross multiply
    123,722.56x = 185,583.75 × 71,098.48
  4. Step 4: Simplify right side
    123,722.56x = 13,194,722,537.70
  5. Step 5: Solve for x
    x = 13,194,722,537.70/123,722.56
  6. Step 6: Final answer
    x = 106,647.67

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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.