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Finding the Fourth Proportional to 122,462.82, 169,033.91 and 74,064.78

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Solution

The fourth proportional to 122,462.82, 169,033.91 and 74,064.78 is: 102,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,462.82 : 169,033.91 = 74,064.78 : x
  2. Step 2: Convert to fraction form
    122,462.82/169,033.91 = 74,064.78/x
  3. Step 3: Cross multiply
    122,462.82x = 169,033.91 × 74,064.78
  4. Step 4: Simplify right side
    122,462.82x = 12,519,458,986.37
  5. Step 5: Solve for x
    x = 12,519,458,986.37/122,462.82
  6. Step 6: Final answer
    x = 102,230.69

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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.