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Finding the Fourth Proportional to 81,467.70, 122,165.10 and 37,071.60

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Solution

The fourth proportional to 81,467.70, 122,165.10 and 37,071.60 is: 55,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467.70 : 122,165.10 = 37,071.60 : x
  2. Step 2: Convert to fraction form
    81,467.70/122,165.10 = 37,071.60/x
  3. Step 3: Cross multiply
    81,467.70x = 122,165.10 × 37,071.60
  4. Step 4: Simplify right side
    81,467.70x = 4,528,855,721.16
  5. Step 5: Solve for x
    x = 4,528,855,721.16/81,467.70
  6. Step 6: Final answer
    x = 55,590.81

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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.