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Finding the Fourth Proportional to 211,612, 317,497.92 and 111,768.16

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Solution

The fourth proportional to 211,612, 317,497.92 and 111,768.16 is: 167,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,612 : 317,497.92 = 111,768.16 : x
  2. Step 2: Convert to fraction form
    211,612/317,497.92 = 111,768.16/x
  3. Step 3: Cross multiply
    211,612x = 317,497.92 × 111,768.16
  4. Step 4: Simplify right side
    211,612x = 35,486,158,322.23
  5. Step 5: Solve for x
    x = 35,486,158,322.23/211,612
  6. Step 6: Final answer
    x = 167,694.45

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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.