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Finding the Fourth Proportional to 109,880.78, 165,644.72 and 102,556.98

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Solution

The fourth proportional to 109,880.78, 165,644.72 and 102,556.98 is: 154,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,880.78 : 165,644.72 = 102,556.98 : x
  2. Step 2: Convert to fraction form
    109,880.78/165,644.72 = 102,556.98/x
  3. Step 3: Cross multiply
    109,880.78x = 165,644.72 × 102,556.98
  4. Step 4: Simplify right side
    109,880.78x = 16,988,021,723.36
  5. Step 5: Solve for x
    x = 16,988,021,723.36/109,880.78
  6. Step 6: Final answer
    x = 154,604.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.