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Finding the Fourth Proportional to 102,786, 154,179 and 28,914

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Solution

The fourth proportional to 102,786, 154,179 and 28,914 is: 43,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,786 : 154,179 = 28,914 : x
  2. Step 2: Convert to fraction form
    102,786/154,179 = 28,914/x
  3. Step 3: Cross multiply
    102,786x = 154,179 × 28,914
  4. Step 4: Simplify right side
    102,786x = 4,457,931,606
  5. Step 5: Solve for x
    x = 4,457,931,606/102,786
  6. Step 6: Final answer
    x = 43,371

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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.