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Finding the Fourth Proportional to 144,745.89, 199,747.14 and 81,085.95

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Solution

The fourth proportional to 144,745.89, 199,747.14 and 81,085.95 is: 111,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,745.89 : 199,747.14 = 81,085.95 : x
  2. Step 2: Convert to fraction form
    144,745.89/199,747.14 = 81,085.95/x
  3. Step 3: Cross multiply
    144,745.89x = 199,747.14 × 81,085.95
  4. Step 4: Simplify right side
    144,745.89x = 16,196,686,606.68
  5. Step 5: Solve for x
    x = 16,196,686,606.68/144,745.89
  6. Step 6: Final answer
    x = 111,897.39

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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.