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Finding the Fourth Proportional to 92,415.60, 138,536.04 and 84,198

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Solution

The fourth proportional to 92,415.60, 138,536.04 and 84,198 is: 126,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,415.60 : 138,536.04 = 84,198 : x
  2. Step 2: Convert to fraction form
    92,415.60/138,536.04 = 84,198/x
  3. Step 3: Cross multiply
    92,415.60x = 138,536.04 × 84,198
  4. Step 4: Simplify right side
    92,415.60x = 11,664,457,495.92
  5. Step 5: Solve for x
    x = 11,664,457,495.92/92,415.60
  6. Step 6: Final answer
    x = 126,217.41

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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.