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Finding the Fourth Proportional to 211,519.95, 317,069.69 and 106,016.91

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Solution

The fourth proportional to 211,519.95, 317,069.69 and 106,016.91 is: 158,919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,519.95 : 317,069.69 = 106,016.91 : x
  2. Step 2: Convert to fraction form
    211,519.95/317,069.69 = 106,016.91/x
  3. Step 3: Cross multiply
    211,519.95x = 317,069.69 × 106,016.91
  4. Step 4: Simplify right side
    211,519.95x = 33,614,748,258.37
  5. Step 5: Solve for x
    x = 33,614,748,258.37/211,519.95
  6. Step 6: Final answer
    x = 158,919.99

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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.