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Finding the Fourth Proportional to 196,411.50, 271,035.11 and 115,820.55

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Solution

The fourth proportional to 196,411.50, 271,035.11 and 115,820.55 is: 159,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,411.50 : 271,035.11 = 115,820.55 : x
  2. Step 2: Convert to fraction form
    196,411.50/271,035.11 = 115,820.55/x
  3. Step 3: Cross multiply
    196,411.50x = 271,035.11 × 115,820.55
  4. Step 4: Simplify right side
    196,411.50x = 31,391,435,799.06
  5. Step 5: Solve for x
    x = 31,391,435,799.06/196,411.50
  6. Step 6: Final answer
    x = 159,824.84

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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.