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Finding the Fourth Proportional to 196,848, 271,656 and 107,429.76

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Solution

The fourth proportional to 196,848, 271,656 and 107,429.76 is: 148,256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,848 : 271,656 = 107,429.76 : x
  2. Step 2: Convert to fraction form
    196,848/271,656 = 107,429.76/x
  3. Step 3: Cross multiply
    196,848x = 271,656 × 107,429.76
  4. Step 4: Simplify right side
    196,848x = 29,183,938,882.56
  5. Step 5: Solve for x
    x = 29,183,938,882.56/196,848
  6. Step 6: Final answer
    x = 148,256.21

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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.