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Finding the Fourth Proportional to 211,359.88, 317,078.69 and 69,213.07

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Solution

The fourth proportional to 211,359.88, 317,078.69 and 69,213.07 is: 103,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,359.88 : 317,078.69 = 69,213.07 : x
  2. Step 2: Convert to fraction form
    211,359.88/317,078.69 = 69,213.07/x
  3. Step 3: Cross multiply
    211,359.88x = 317,078.69 × 69,213.07
  4. Step 4: Simplify right side
    211,359.88x = 21,945,988,427.72
  5. Step 5: Solve for x
    x = 21,945,988,427.72/211,359.88
  6. Step 6: Final answer
    x = 103,832.33

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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.