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Finding the Fourth Proportional to 282,109.83, 423,162.91 and 71,745.94

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Solution

The fourth proportional to 282,109.83, 423,162.91 and 71,745.94 is: 107,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,109.83 : 423,162.91 = 71,745.94 : x
  2. Step 2: Convert to fraction form
    282,109.83/423,162.91 = 71,745.94/x
  3. Step 3: Cross multiply
    282,109.83x = 423,162.91 × 71,745.94
  4. Step 4: Simplify right side
    282,109.83x = 30,360,220,751.09
  5. Step 5: Solve for x
    x = 30,360,220,751.09/282,109.83
  6. Step 6: Final answer
    x = 107,618.44

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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.