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Finding the Fourth Proportional to 197,072.28, 271,960.80 and 107,648.28

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Solution

The fourth proportional to 197,072.28, 271,960.80 and 107,648.28 is: 148,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,072.28 : 271,960.80 = 107,648.28 : x
  2. Step 2: Convert to fraction form
    197,072.28/271,960.80 = 107,648.28/x
  3. Step 3: Cross multiply
    197,072.28x = 271,960.80 × 107,648.28
  4. Step 4: Simplify right side
    197,072.28x = 29,276,112,347.42
  5. Step 5: Solve for x
    x = 29,276,112,347.42/197,072.28
  6. Step 6: Final answer
    x = 148,555.20

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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.