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Finding the Fourth Proportional to 103,228, 154,868 and 29,356

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Solution

The fourth proportional to 103,228, 154,868 and 29,356 is: 44,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,228 : 154,868 = 29,356 : x
  2. Step 2: Convert to fraction form
    103,228/154,868 = 29,356/x
  3. Step 3: Cross multiply
    103,228x = 154,868 × 29,356
  4. Step 4: Simplify right side
    103,228x = 4,546,305,008
  5. Step 5: Solve for x
    x = 4,546,305,008/103,228
  6. Step 6: Final answer
    x = 44,041.39

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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.