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Finding the Fourth Proportional to 345,728, 518,592 and 83,072

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Solution

The fourth proportional to 345,728, 518,592 and 83,072 is: 124,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,728 : 518,592 = 83,072 : x
  2. Step 2: Convert to fraction form
    345,728/518,592 = 83,072/x
  3. Step 3: Cross multiply
    345,728x = 518,592 × 83,072
  4. Step 4: Simplify right side
    345,728x = 43,080,474,624
  5. Step 5: Solve for x
    x = 43,080,474,624/345,728
  6. Step 6: Final answer
    x = 124,608

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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.