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Finding the Fourth Proportional to 197,109, 271,690.98 and 154,013.16

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Solution

The fourth proportional to 197,109, 271,690.98 and 154,013.16 is: 212,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,109 : 271,690.98 = 154,013.16 : x
  2. Step 2: Convert to fraction form
    197,109/271,690.98 = 154,013.16/x
  3. Step 3: Cross multiply
    197,109x = 271,690.98 × 154,013.16
  4. Step 4: Simplify right side
    197,109x = 41,843,986,373.30
  5. Step 5: Solve for x
    x = 41,843,986,373.30/197,109
  6. Step 6: Final answer
    x = 212,288.56

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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.