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Finding the Fourth Proportional to 179,774, 248,088.16 and 100,286

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Solution

The fourth proportional to 179,774, 248,088.16 and 100,286 is: 138,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,774 : 248,088.16 = 100,286 : x
  2. Step 2: Convert to fraction form
    179,774/248,088.16 = 100,286/x
  3. Step 3: Cross multiply
    179,774x = 248,088.16 × 100,286
  4. Step 4: Simplify right side
    179,774x = 24,879,769,213.76
  5. Step 5: Solve for x
    x = 24,879,769,213.76/179,774
  6. Step 6: Final answer
    x = 138,394.70

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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.