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Finding the Fourth Proportional to 211,756, 317,634 and 64,012

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Solution

The fourth proportional to 211,756, 317,634 and 64,012 is: 96,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,756 : 317,634 = 64,012 : x
  2. Step 2: Convert to fraction form
    211,756/317,634 = 64,012/x
  3. Step 3: Cross multiply
    211,756x = 317,634 × 64,012
  4. Step 4: Simplify right side
    211,756x = 20,332,387,608
  5. Step 5: Solve for x
    x = 20,332,387,608/211,756
  6. Step 6: Final answer
    x = 96,018

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