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Finding the Fourth Proportional to 108,103.96, 162,185.66 and 51,991

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Solution

The fourth proportional to 108,103.96, 162,185.66 and 51,991 is: 78,000.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,103.96 : 162,185.66 = 51,991 : x
  2. Step 2: Convert to fraction form
    108,103.96/162,185.66 = 51,991/x
  3. Step 3: Cross multiply
    108,103.96x = 162,185.66 × 51,991
  4. Step 4: Simplify right side
    108,103.96x = 8,432,194,649.06
  5. Step 5: Solve for x
    x = 8,432,194,649.06/108,103.96
  6. Step 6: Final answer
    x = 78,000.79

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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.