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Finding the Fourth Proportional to 196,118.40, 270,643.20 and 106,694.40

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Solution

The fourth proportional to 196,118.40, 270,643.20 and 106,694.40 is: 147,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,118.40 : 270,643.20 = 106,694.40 : x
  2. Step 2: Convert to fraction form
    196,118.40/270,643.20 = 106,694.40/x
  3. Step 3: Cross multiply
    196,118.40x = 270,643.20 × 106,694.40
  4. Step 4: Simplify right side
    196,118.40x = 28,876,113,838.08
  5. Step 5: Solve for x
    x = 28,876,113,838.08/196,118.40
  6. Step 6: Final answer
    x = 147,238.17

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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.