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Finding the Fourth Proportional to 122,121, 168,442.80 and 85,899.26

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Solution

The fourth proportional to 122,121, 168,442.80 and 85,899.26 is: 118,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,121 : 168,442.80 = 85,899.26 : x
  2. Step 2: Convert to fraction form
    122,121/168,442.80 = 85,899.26/x
  3. Step 3: Cross multiply
    122,121x = 168,442.80 × 85,899.26
  4. Step 4: Simplify right side
    122,121x = 14,469,111,872.33
  5. Step 5: Solve for x
    x = 14,469,111,872.33/122,121
  6. Step 6: Final answer
    x = 118,481.77

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1.5x scale

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.