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Finding the Fourth Proportional to 345,714, 518,571 and 83,058

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Solution

The fourth proportional to 345,714, 518,571 and 83,058 is: 124,587

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,714 : 518,571 = 83,058 : x
  2. Step 2: Convert to fraction form
    345,714/518,571 = 83,058/x
  3. Step 3: Cross multiply
    345,714x = 518,571 × 83,058
  4. Step 4: Simplify right side
    345,714x = 43,071,470,118
  5. Step 5: Solve for x
    x = 43,071,470,118/345,714
  6. Step 6: Final answer
    x = 124,587

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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.