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Finding the Fourth Proportional to 211,511.78, 317,101.25 and 104,822.39

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Solution

The fourth proportional to 211,511.78, 317,101.25 and 104,822.39 is: 157,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,511.78 : 317,101.25 = 104,822.39 : x
  2. Step 2: Convert to fraction form
    211,511.78/317,101.25 = 104,822.39/x
  3. Step 3: Cross multiply
    211,511.78x = 317,101.25 × 104,822.39
  4. Step 4: Simplify right side
    211,511.78x = 33,239,309,573.54
  5. Step 5: Solve for x
    x = 33,239,309,573.54/211,511.78
  6. Step 6: Final answer
    x = 157,151.11

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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.