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Finding the Fourth Proportional to 165,830.40, 248,745.60 and 82,886.40

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Solution

The fourth proportional to 165,830.40, 248,745.60 and 82,886.40 is: 124,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,830.40 : 248,745.60 = 82,886.40 : x
  2. Step 2: Convert to fraction form
    165,830.40/248,745.60 = 82,886.40/x
  3. Step 3: Cross multiply
    165,830.40x = 248,745.60 × 82,886.40
  4. Step 4: Simplify right side
    165,830.40x = 20,617,627,299.84
  5. Step 5: Solve for x
    x = 20,617,627,299.84/165,830.40
  6. Step 6: Final answer
    x = 124,329.60

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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.