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Finding the Fourth Proportional to 102,764, 154,146 and 28,892

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Solution

The fourth proportional to 102,764, 154,146 and 28,892 is: 43,338

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,764 : 154,146 = 28,892 : x
  2. Step 2: Convert to fraction form
    102,764/154,146 = 28,892/x
  3. Step 3: Cross multiply
    102,764x = 154,146 × 28,892
  4. Step 4: Simplify right side
    102,764x = 4,453,586,232
  5. Step 5: Solve for x
    x = 4,453,586,232/102,764
  6. Step 6: Final answer
    x = 43,338

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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.