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Finding the Fourth Proportional to 81,626.89, 122,478 and 37,267.24

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Solution

The fourth proportional to 81,626.89, 122,478 and 37,267.24 is: 55,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,626.89 : 122,478 = 37,267.24 : x
  2. Step 2: Convert to fraction form
    81,626.89/122,478 = 37,267.24/x
  3. Step 3: Cross multiply
    81,626.89x = 122,478 × 37,267.24
  4. Step 4: Simplify right side
    81,626.89x = 4,564,417,020.72
  5. Step 5: Solve for x
    x = 4,564,417,020.72/81,626.89
  6. Step 6: Final answer
    x = 55,918.06

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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.