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Finding the Fourth Proportional to 196,470, 271,128.60 and 107,046

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Solution

The fourth proportional to 196,470, 271,128.60 and 107,046 is: 147,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,470 : 271,128.60 = 107,046 : x
  2. Step 2: Convert to fraction form
    196,470/271,128.60 = 107,046/x
  3. Step 3: Cross multiply
    196,470x = 271,128.60 × 107,046
  4. Step 4: Simplify right side
    196,470x = 29,023,232,115.60
  5. Step 5: Solve for x
    x = 29,023,232,115.60/196,470
  6. Step 6: Final answer
    x = 147,723.48

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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.