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Finding the Fourth Proportional to 102,750, 154,125 and 28,878

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Solution

The fourth proportional to 102,750, 154,125 and 28,878 is: 43,317

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,750 : 154,125 = 28,878 : x
  2. Step 2: Convert to fraction form
    102,750/154,125 = 28,878/x
  3. Step 3: Cross multiply
    102,750x = 154,125 × 28,878
  4. Step 4: Simplify right side
    102,750x = 4,450,821,750
  5. Step 5: Solve for x
    x = 4,450,821,750/102,750
  6. Step 6: Final answer
    x = 43,317

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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.