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Finding the Fourth Proportional to 100,764, 151,146 and 26,892

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Solution

The fourth proportional to 100,764, 151,146 and 26,892 is: 40,338

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764 : 151,146 = 26,892 : x
  2. Step 2: Convert to fraction form
    100,764/151,146 = 26,892/x
  3. Step 3: Cross multiply
    100,764x = 151,146 × 26,892
  4. Step 4: Simplify right side
    100,764x = 4,064,618,232
  5. Step 5: Solve for x
    x = 4,064,618,232/100,764
  6. Step 6: Final answer
    x = 40,338

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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.