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Finding the Fourth Proportional to 122,775.66, 184,163.50 and 81,212.94

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Solution

The fourth proportional to 122,775.66, 184,163.50 and 81,212.94 is: 121,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,775.66 : 184,163.50 = 81,212.94 : x
  2. Step 2: Convert to fraction form
    122,775.66/184,163.50 = 81,212.94/x
  3. Step 3: Cross multiply
    122,775.66x = 184,163.50 × 81,212.94
  4. Step 4: Simplify right side
    122,775.66x = 14,956,459,275.69
  5. Step 5: Solve for x
    x = 14,956,459,275.69/122,775.66
  6. Step 6: Final answer
    x = 121,819.42

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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.