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Finding the Fourth Proportional to 78,486.82, 108,311.02 and 42,676.84

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Solution

The fourth proportional to 78,486.82, 108,311.02 and 42,676.84 is: 58,893.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486.82 : 108,311.02 = 42,676.84 : x
  2. Step 2: Convert to fraction form
    78,486.82/108,311.02 = 42,676.84/x
  3. Step 3: Cross multiply
    78,486.82x = 108,311.02 × 42,676.84
  4. Step 4: Simplify right side
    78,486.82x = 4,622,372,070.78
  5. Step 5: Solve for x
    x = 4,622,372,070.78/78,486.82
  6. Step 6: Final answer
    x = 58,893.61

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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.