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Finding the Fourth Proportional to 103,071.78, 154,629.74 and 31,992.86

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Solution

The fourth proportional to 103,071.78, 154,629.74 and 31,992.86 is: 47,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,071.78 : 154,629.74 = 31,992.86 : x
  2. Step 2: Convert to fraction form
    103,071.78/154,629.74 = 31,992.86/x
  3. Step 3: Cross multiply
    103,071.78x = 154,629.74 × 31,992.86
  4. Step 4: Simplify right side
    103,071.78x = 4,947,046,690.54
  5. Step 5: Solve for x
    x = 4,947,046,690.54/103,071.78
  6. Step 6: Final answer
    x = 47,996.13

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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.