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Finding the Fourth Proportional to 122,894.82, 169,558.11 and 75,099.15

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Solution

The fourth proportional to 122,894.82, 169,558.11 and 75,099.15 is: 103,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,894.82 : 169,558.11 = 75,099.15 : x
  2. Step 2: Convert to fraction form
    122,894.82/169,558.11 = 75,099.15/x
  3. Step 3: Cross multiply
    122,894.82x = 169,558.11 × 75,099.15
  4. Step 4: Simplify right side
    122,894.82x = 12,733,669,936.61
  5. Step 5: Solve for x
    x = 12,733,669,936.61/122,894.82
  6. Step 6: Final answer
    x = 103,614.37

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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.