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Finding the Fourth Proportional to 196,980, 271,833.12 and 107,556

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Solution

The fourth proportional to 196,980, 271,833.12 and 107,556 is: 148,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,980 : 271,833.12 = 107,556 : x
  2. Step 2: Convert to fraction form
    196,980/271,833.12 = 107,556/x
  3. Step 3: Cross multiply
    196,980x = 271,833.12 × 107,556
  4. Step 4: Simplify right side
    196,980x = 29,237,283,054.72
  5. Step 5: Solve for x
    x = 29,237,283,054.72/196,980
  6. Step 6: Final answer
    x = 148,427.67

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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.