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Finding the Fourth Proportional to 108,082, 162,181.32 and 52,678

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Solution

The fourth proportional to 108,082, 162,181.32 and 52,678 is: 79,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,082 : 162,181.32 = 52,678 : x
  2. Step 2: Convert to fraction form
    108,082/162,181.32 = 52,678/x
  3. Step 3: Cross multiply
    108,082x = 162,181.32 × 52,678
  4. Step 4: Simplify right side
    108,082x = 8,543,387,574.96
  5. Step 5: Solve for x
    x = 8,543,387,574.96/108,082
  6. Step 6: Final answer
    x = 79,045.42

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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.