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Finding the Fourth Proportional to 103,289.56, 154,916.52 and 27,388.63

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Solution

The fourth proportional to 103,289.56, 154,916.52 and 27,388.63 is: 41,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,289.56 : 154,916.52 = 27,388.63 : x
  2. Step 2: Convert to fraction form
    103,289.56/154,916.52 = 27,388.63/x
  3. Step 3: Cross multiply
    103,289.56x = 154,916.52 × 27,388.63
  4. Step 4: Simplify right side
    103,289.56x = 4,242,951,338.11
  5. Step 5: Solve for x
    x = 4,242,951,338.11/103,289.56
  6. Step 6: Final answer
    x = 41,078.22

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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.