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Finding the Fourth Proportional to 102,760, 154,140 and 28,888

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Solution

The fourth proportional to 102,760, 154,140 and 28,888 is: 43,332

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,760 : 154,140 = 28,888 : x
  2. Step 2: Convert to fraction form
    102,760/154,140 = 28,888/x
  3. Step 3: Cross multiply
    102,760x = 154,140 × 28,888
  4. Step 4: Simplify right side
    102,760x = 4,452,796,320
  5. Step 5: Solve for x
    x = 4,452,796,320/102,760
  6. Step 6: Final answer
    x = 43,332

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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.