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Finding the Fourth Proportional to 211,369.77, 317,049.95 and 51,446.39

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Solution

The fourth proportional to 211,369.77, 317,049.95 and 51,446.39 is: 77,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,369.77 : 317,049.95 = 51,446.39 : x
  2. Step 2: Convert to fraction form
    211,369.77/317,049.95 = 51,446.39/x
  3. Step 3: Cross multiply
    211,369.77x = 317,049.95 × 51,446.39
  4. Step 4: Simplify right side
    211,369.77x = 16,311,073,534.70
  5. Step 5: Solve for x
    x = 16,311,073,534.70/211,369.77
  6. Step 6: Final answer
    x = 77,168.43

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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.