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Finding the Fourth Proportional to 179,886, 269,842.10 and 69,078

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Solution

The fourth proportional to 179,886, 269,842.10 and 69,078 is: 103,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,886 : 269,842.10 = 69,078 : x
  2. Step 2: Convert to fraction form
    179,886/269,842.10 = 69,078/x
  3. Step 3: Cross multiply
    179,886x = 269,842.10 × 69,078
  4. Step 4: Simplify right side
    179,886x = 18,640,152,583.80
  5. Step 5: Solve for x
    x = 18,640,152,583.80/179,886
  6. Step 6: Final answer
    x = 103,622.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.