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Finding the Fourth Proportional to 209,062.21, 288,491.25 and 115,927.12

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Solution

The fourth proportional to 209,062.21, 288,491.25 and 115,927.12 is: 159,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.21 : 288,491.25 = 115,927.12 : x
  2. Step 2: Convert to fraction form
    209,062.21/288,491.25 = 115,927.12/x
  3. Step 3: Cross multiply
    209,062.21x = 288,491.25 × 115,927.12
  4. Step 4: Simplify right side
    209,062.21x = 33,443,959,757.70
  5. Step 5: Solve for x
    x = 33,443,959,757.70/209,062.21
  6. Step 6: Final answer
    x = 159,971.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.