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Finding the Fourth Proportional to 102,756.98, 154,138.72 and 27,876.94

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Solution

The fourth proportional to 102,756.98, 154,138.72 and 27,876.94 is: 41,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,756.98 : 154,138.72 = 27,876.94 : x
  2. Step 2: Convert to fraction form
    102,756.98/154,138.72 = 27,876.94/x
  3. Step 3: Cross multiply
    102,756.98x = 154,138.72 × 27,876.94
  4. Step 4: Simplify right side
    102,756.98x = 4,296,915,849.12
  5. Step 5: Solve for x
    x = 4,296,915,849.12/102,756.98
  6. Step 6: Final answer
    x = 41,816.29

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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.