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Finding the Fourth Proportional to 108,129.73, 162,229.29 and 51,973.91

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Solution

The fourth proportional to 108,129.73, 162,229.29 and 51,973.91 is: 77,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,129.73 : 162,229.29 = 51,973.91 : x
  2. Step 2: Convert to fraction form
    108,129.73/162,229.29 = 51,973.91/x
  3. Step 3: Cross multiply
    108,129.73x = 162,229.29 × 51,973.91
  4. Step 4: Simplify right side
    108,129.73x = 8,431,690,517.82
  5. Step 5: Solve for x
    x = 8,431,690,517.82/108,129.73
  6. Step 6: Final answer
    x = 77,977.54

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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.