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Finding the Fourth Proportional to 102,930.52, 154,236.36 and 71,401.90

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Solution

The fourth proportional to 102,930.52, 154,236.36 and 71,401.90 is: 106,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,930.52 : 154,236.36 = 71,401.90 : x
  2. Step 2: Convert to fraction form
    102,930.52/154,236.36 = 71,401.90/x
  3. Step 3: Cross multiply
    102,930.52x = 154,236.36 × 71,401.90
  4. Step 4: Simplify right side
    102,930.52x = 11,012,769,153.08
  5. Step 5: Solve for x
    x = 11,012,769,153.08/102,930.52
  6. Step 6: Final answer
    x = 106,992.26

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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.