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Finding the Fourth Proportional to 275,172.12, 379,703.70 and 161,973

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Solution

The fourth proportional to 275,172.12, 379,703.70 and 161,973 is: 223,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,172.12 : 379,703.70 = 161,973 : x
  2. Step 2: Convert to fraction form
    275,172.12/379,703.70 = 161,973/x
  3. Step 3: Cross multiply
    275,172.12x = 379,703.70 × 161,973
  4. Step 4: Simplify right side
    275,172.12x = 61,501,747,400.10
  5. Step 5: Solve for x
    x = 61,501,747,400.10/275,172.12
  6. Step 6: Final answer
    x = 223,502.83

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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.