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Finding the Fourth Proportional to 52,512, 78,723.84 and 21,369.60

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Solution

The fourth proportional to 52,512, 78,723.84 and 21,369.60 is: 32,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,512 : 78,723.84 = 21,369.60 : x
  2. Step 2: Convert to fraction form
    52,512/78,723.84 = 21,369.60/x
  3. Step 3: Cross multiply
    52,512x = 78,723.84 × 21,369.60
  4. Step 4: Simplify right side
    52,512x = 1,682,296,971.26
  5. Step 5: Solve for x
    x = 1,682,296,971.26/52,512
  6. Step 6: Final answer
    x = 32,036.43

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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.