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Finding the Fourth Proportional to 211,522.70, 317,142.12 and 83,321.78

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Solution

The fourth proportional to 211,522.70, 317,142.12 and 83,321.78 is: 124,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,522.70 : 317,142.12 = 83,321.78 : x
  2. Step 2: Convert to fraction form
    211,522.70/317,142.12 = 83,321.78/x
  3. Step 3: Cross multiply
    211,522.70x = 317,142.12 × 83,321.78
  4. Step 4: Simplify right side
    211,522.70x = 26,424,845,951.37
  5. Step 5: Solve for x
    x = 26,424,845,951.37/211,522.70
  6. Step 6: Final answer
    x = 124,926.76

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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.