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Finding the Fourth Proportional to 211,486.51, 317,007 and 85,216.42

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Solution

The fourth proportional to 211,486.51, 317,007 and 85,216.42 is: 127,734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,486.51 : 317,007 = 85,216.42 : x
  2. Step 2: Convert to fraction form
    211,486.51/317,007 = 85,216.42/x
  3. Step 3: Cross multiply
    211,486.51x = 317,007 × 85,216.42
  4. Step 4: Simplify right side
    211,486.51x = 27,014,201,654.94
  5. Step 5: Solve for x
    x = 27,014,201,654.94/211,486.51
  6. Step 6: Final answer
    x = 127,734.87

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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.