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Finding the Fourth Proportional to 211,533, 317,268.33 and 69,393.27

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Solution

The fourth proportional to 211,533, 317,268.33 and 69,393.27 is: 104,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,533 : 317,268.33 = 69,393.27 : x
  2. Step 2: Convert to fraction form
    211,533/317,268.33 = 69,393.27/x
  3. Step 3: Cross multiply
    211,533x = 317,268.33 × 69,393.27
  4. Step 4: Simplify right side
    211,533x = 22,016,286,886.14
  5. Step 5: Solve for x
    x = 22,016,286,886.14/211,533
  6. Step 6: Final answer
    x = 104,079.68

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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.