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Finding the Fourth Proportional to 102,754, 154,131 and 28,882

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Solution

The fourth proportional to 102,754, 154,131 and 28,882 is: 43,323

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,754 : 154,131 = 28,882 : x
  2. Step 2: Convert to fraction form
    102,754/154,131 = 28,882/x
  3. Step 3: Cross multiply
    102,754x = 154,131 × 28,882
  4. Step 4: Simplify right side
    102,754x = 4,451,611,542
  5. Step 5: Solve for x
    x = 4,451,611,542/102,754
  6. Step 6: Final answer
    x = 43,323

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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.