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Finding the Fourth Proportional to 196,412, 271,048.56 and 106,988

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Solution

The fourth proportional to 196,412, 271,048.56 and 106,988 is: 147,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,412 : 271,048.56 = 106,988 : x
  2. Step 2: Convert to fraction form
    196,412/271,048.56 = 106,988/x
  3. Step 3: Cross multiply
    196,412x = 271,048.56 × 106,988
  4. Step 4: Simplify right side
    196,412x = 28,998,943,337.28
  5. Step 5: Solve for x
    x = 28,998,943,337.28/196,412
  6. Step 6: Final answer
    x = 147,643.44

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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.