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Finding the Fourth Proportional to 211,731, 317,596.50 and 63,987

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Solution

The fourth proportional to 211,731, 317,596.50 and 63,987 is: 95,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,731 : 317,596.50 = 63,987 : x
  2. Step 2: Convert to fraction form
    211,731/317,596.50 = 63,987/x
  3. Step 3: Cross multiply
    211,731x = 317,596.50 × 63,987
  4. Step 4: Simplify right side
    211,731x = 20,322,047,245.50
  5. Step 5: Solve for x
    x = 20,322,047,245.50/211,731
  6. Step 6: Final answer
    x = 95,980.50

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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.