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Finding the Fourth Proportional to 168,464, 252,716.48 and 51,728

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Solution

The fourth proportional to 168,464, 252,716.48 and 51,728 is: 77,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,464 : 252,716.48 = 51,728 : x
  2. Step 2: Convert to fraction form
    168,464/252,716.48 = 51,728/x
  3. Step 3: Cross multiply
    168,464x = 252,716.48 × 51,728
  4. Step 4: Simplify right side
    168,464x = 13,072,518,077.44
  5. Step 5: Solve for x
    x = 13,072,518,077.44/168,464
  6. Step 6: Final answer
    x = 77,598.29

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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.