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Finding the Fourth Proportional to 103,391.63, 154,387.09 and 82,092.68

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Solution

The fourth proportional to 103,391.63, 154,387.09 and 82,092.68 is: 122,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,391.63 : 154,387.09 = 82,092.68 : x
  2. Step 2: Convert to fraction form
    103,391.63/154,387.09 = 82,092.68/x
  3. Step 3: Cross multiply
    103,391.63x = 154,387.09 × 82,092.68
  4. Step 4: Simplify right side
    103,391.63x = 12,674,049,975.50
  5. Step 5: Solve for x
    x = 12,674,049,975.50/103,391.63
  6. Step 6: Final answer
    x = 122,582.94

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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.