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Finding the Fourth Proportional to 211,910.10, 317,745.33 and 69,716.89

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Solution

The fourth proportional to 211,910.10, 317,745.33 and 69,716.89 is: 104,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,910.10 : 317,745.33 = 69,716.89 : x
  2. Step 2: Convert to fraction form
    211,910.10/317,745.33 = 69,716.89/x
  3. Step 3: Cross multiply
    211,910.10x = 317,745.33 × 69,716.89
  4. Step 4: Simplify right side
    211,910.10x = 22,152,216,219.62
  5. Step 5: Solve for x
    x = 22,152,216,219.62/211,910.10
  6. Step 6: Final answer
    x = 104,535.92

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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.