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Finding the Fourth Proportional to 108,108, 162,120.69 and 51,932.07

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Solution

The fourth proportional to 108,108, 162,120.69 and 51,932.07 is: 77,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,108 : 162,120.69 = 51,932.07 : x
  2. Step 2: Convert to fraction form
    108,108/162,120.69 = 51,932.07/x
  3. Step 3: Cross multiply
    108,108x = 162,120.69 × 51,932.07
  4. Step 4: Simplify right side
    108,108x = 8,419,263,021.53
  5. Step 5: Solve for x
    x = 8,419,263,021.53/108,108
  6. Step 6: Final answer
    x = 77,878.26

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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.