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Finding the Fourth Proportional to 165,866.13, 248,774.69 and 81,603.65

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Solution

The fourth proportional to 165,866.13, 248,774.69 and 81,603.65 is: 122,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,866.13 : 248,774.69 = 81,603.65 : x
  2. Step 2: Convert to fraction form
    165,866.13/248,774.69 = 81,603.65/x
  3. Step 3: Cross multiply
    165,866.13x = 248,774.69 × 81,603.65
  4. Step 4: Simplify right side
    165,866.13x = 20,300,923,557.56
  5. Step 5: Solve for x
    x = 20,300,923,557.56/165,866.13
  6. Step 6: Final answer
    x = 122,393.42

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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.