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Finding the Fourth Proportional to 196,478, 271,139.68 and 107,054

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Solution

The fourth proportional to 196,478, 271,139.68 and 107,054 is: 147,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,478 : 271,139.68 = 107,054 : x
  2. Step 2: Convert to fraction form
    196,478/271,139.68 = 107,054/x
  3. Step 3: Cross multiply
    196,478x = 271,139.68 × 107,054
  4. Step 4: Simplify right side
    196,478x = 29,026,587,302.72
  5. Step 5: Solve for x
    x = 29,026,587,302.72/196,478
  6. Step 6: Final answer
    x = 147,734.54

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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.