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Finding the Fourth Proportional to 211,513, 317,278.14 and 53,745.52

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Solution

The fourth proportional to 211,513, 317,278.14 and 53,745.52 is: 80,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,513 : 317,278.14 = 53,745.52 : x
  2. Step 2: Convert to fraction form
    211,513/317,278.14 = 53,745.52/x
  3. Step 3: Cross multiply
    211,513x = 317,278.14 × 53,745.52
  4. Step 4: Simplify right side
    211,513x = 17,052,278,618.93
  5. Step 5: Solve for x
    x = 17,052,278,618.93/211,513
  6. Step 6: Final answer
    x = 80,620.48

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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.