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Finding the Fourth Proportional to 197,072, 271,959.36 and 107,648

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Solution

The fourth proportional to 197,072, 271,959.36 and 107,648 is: 148,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,072 : 271,959.36 = 107,648 : x
  2. Step 2: Convert to fraction form
    197,072/271,959.36 = 107,648/x
  3. Step 3: Cross multiply
    197,072x = 271,959.36 × 107,648
  4. Step 4: Simplify right side
    197,072x = 29,275,881,185.28
  5. Step 5: Solve for x
    x = 29,275,881,185.28/197,072
  6. Step 6: Final answer
    x = 148,554.24

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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.