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Finding the Fourth Proportional to 102,758, 154,137 and 28,886

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Solution

The fourth proportional to 102,758, 154,137 and 28,886 is: 43,329

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,758 : 154,137 = 28,886 : x
  2. Step 2: Convert to fraction form
    102,758/154,137 = 28,886/x
  3. Step 3: Cross multiply
    102,758x = 154,137 × 28,886
  4. Step 4: Simplify right side
    102,758x = 4,452,401,382
  5. Step 5: Solve for x
    x = 4,452,401,382/102,758
  6. Step 6: Final answer
    x = 43,329

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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.