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Finding the Fourth Proportional to 100,812, 151,218 and 35,148

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Solution

The fourth proportional to 100,812, 151,218 and 35,148 is: 52,722

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,812 : 151,218 = 35,148 : x
  2. Step 2: Convert to fraction form
    100,812/151,218 = 35,148/x
  3. Step 3: Cross multiply
    100,812x = 151,218 × 35,148
  4. Step 4: Simplify right side
    100,812x = 5,315,010,264
  5. Step 5: Solve for x
    x = 5,315,010,264/100,812
  6. Step 6: Final answer
    x = 52,722

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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.