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Finding the Fourth Proportional to 211,491.98, 317,164.17 and 85,099.47

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Solution

The fourth proportional to 211,491.98, 317,164.17 and 85,099.47 is: 127,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,491.98 : 317,164.17 = 85,099.47 : x
  2. Step 2: Convert to fraction form
    211,491.98/317,164.17 = 85,099.47/x
  3. Step 3: Cross multiply
    211,491.98x = 317,164.17 × 85,099.47
  4. Step 4: Simplify right side
    211,491.98x = 26,990,504,278.48
  5. Step 5: Solve for x
    x = 26,990,504,278.48/211,491.98
  6. Step 6: Final answer
    x = 127,619.52

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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.