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Finding the Fourth Proportional to 103,394.73, 154,391.70 and 82,095.78

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Solution

The fourth proportional to 103,394.73, 154,391.70 and 82,095.78 is: 122,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,394.73 : 154,391.70 = 82,095.78 : x
  2. Step 2: Convert to fraction form
    103,394.73/154,391.70 = 82,095.78/x
  3. Step 3: Cross multiply
    103,394.73x = 154,391.70 × 82,095.78
  4. Step 4: Simplify right side
    103,394.73x = 12,674,907,037.03
  5. Step 5: Solve for x
    x = 12,674,907,037.03/103,394.73
  6. Step 6: Final answer
    x = 122,587.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.