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Finding the Fourth Proportional to 211,194.36, 316,838.82 and 70,949.16

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Solution

The fourth proportional to 211,194.36, 316,838.82 and 70,949.16 is: 106,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,194.36 : 316,838.82 = 70,949.16 : x
  2. Step 2: Convert to fraction form
    211,194.36/316,838.82 = 70,949.16/x
  3. Step 3: Cross multiply
    211,194.36x = 316,838.82 × 70,949.16
  4. Step 4: Simplify right side
    211,194.36x = 22,479,448,134.39
  5. Step 5: Solve for x
    x = 22,479,448,134.39/211,194.36
  6. Step 6: Final answer
    x = 106,439.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.