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Finding the Fourth Proportional to 211,604.31, 317,326.37 and 85,201.47

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Solution

The fourth proportional to 211,604.31, 317,326.37 and 85,201.47 is: 127,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,604.31 : 317,326.37 = 85,201.47 : x
  2. Step 2: Convert to fraction form
    211,604.31/317,326.37 = 85,201.47/x
  3. Step 3: Cross multiply
    211,604.31x = 317,326.37 × 85,201.47
  4. Step 4: Simplify right side
    211,604.31x = 27,036,672,767.76
  5. Step 5: Solve for x
    x = 27,036,672,767.76/211,604.31
  6. Step 6: Final answer
    x = 127,769.95

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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.