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Finding the Fourth Proportional to 122,664.96, 169,276.80 and 69,672.96

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Solution

The fourth proportional to 122,664.96, 169,276.80 and 69,672.96 is: 96,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,664.96 : 169,276.80 = 69,672.96 : x
  2. Step 2: Convert to fraction form
    122,664.96/169,276.80 = 69,672.96/x
  3. Step 3: Cross multiply
    122,664.96x = 169,276.80 × 69,672.96
  4. Step 4: Simplify right side
    122,664.96x = 11,794,015,715.33
  5. Step 5: Solve for x
    x = 11,794,015,715.33/122,664.96
  6. Step 6: Final answer
    x = 96,148.20

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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.