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Finding the Fourth Proportional to 208,243.91, 312,362.22 and 81,897.28

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Solution

The fourth proportional to 208,243.91, 312,362.22 and 81,897.28 is: 122,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.91 : 312,362.22 = 81,897.28 : x
  2. Step 2: Convert to fraction form
    208,243.91/312,362.22 = 81,897.28/x
  3. Step 3: Cross multiply
    208,243.91x = 312,362.22 × 81,897.28
  4. Step 4: Simplify right side
    208,243.91x = 25,581,615,718.97
  5. Step 5: Solve for x
    x = 25,581,615,718.97/208,243.91
  6. Step 6: Final answer
    x = 122,844.48

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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.