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Finding the Fourth Proportional to 196,213.89, 270,826.95 and 115,695.06

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Solution

The fourth proportional to 196,213.89, 270,826.95 and 115,695.06 is: 159,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,213.89 : 270,826.95 = 115,695.06 : x
  2. Step 2: Convert to fraction form
    196,213.89/270,826.95 = 115,695.06/x
  3. Step 3: Cross multiply
    196,213.89x = 270,826.95 × 115,695.06
  4. Step 4: Simplify right side
    196,213.89x = 31,333,340,229.87
  5. Step 5: Solve for x
    x = 31,333,340,229.87/196,213.89
  6. Step 6: Final answer
    x = 159,689.72

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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.