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Finding the Fourth Proportional to 52,635, 72,638.52 and 30,279

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Solution

The fourth proportional to 52,635, 72,638.52 and 30,279 is: 41,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,635 : 72,638.52 = 30,279 : x
  2. Step 2: Convert to fraction form
    52,635/72,638.52 = 30,279/x
  3. Step 3: Cross multiply
    52,635x = 72,638.52 × 30,279
  4. Step 4: Simplify right side
    52,635x = 2,199,421,747.08
  5. Step 5: Solve for x
    x = 2,199,421,747.08/52,635
  6. Step 6: Final answer
    x = 41,786.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.