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Finding the Fourth Proportional to 102,757, 154,135.50 and 28,885

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Solution

The fourth proportional to 102,757, 154,135.50 and 28,885 is: 43,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,757 : 154,135.50 = 28,885 : x
  2. Step 2: Convert to fraction form
    102,757/154,135.50 = 28,885/x
  3. Step 3: Cross multiply
    102,757x = 154,135.50 × 28,885
  4. Step 4: Simplify right side
    102,757x = 4,452,203,917.50
  5. Step 5: Solve for x
    x = 4,452,203,917.50/102,757
  6. Step 6: Final answer
    x = 43,327.50

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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.