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Finding the Fourth Proportional to 196,413, 271,037.18 and 115,822.05

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Solution

The fourth proportional to 196,413, 271,037.18 and 115,822.05 is: 159,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,413 : 271,037.18 = 115,822.05 : x
  2. Step 2: Convert to fraction form
    196,413/271,037.18 = 115,822.05/x
  3. Step 3: Cross multiply
    196,413x = 271,037.18 × 115,822.05
  4. Step 4: Simplify right side
    196,413x = 31,392,081,234.71
  5. Step 5: Solve for x
    x = 31,392,081,234.71/196,413
  6. Step 6: Final answer
    x = 159,826.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.