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Finding the Fourth Proportional to 52,728.56, 72,764.16 and 28,855.20

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Solution

The fourth proportional to 52,728.56, 72,764.16 and 28,855.20 is: 39,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,728.56 : 72,764.16 = 28,855.20 : x
  2. Step 2: Convert to fraction form
    52,728.56/72,764.16 = 28,855.20/x
  3. Step 3: Cross multiply
    52,728.56x = 72,764.16 × 28,855.20
  4. Step 4: Simplify right side
    52,728.56x = 2,099,624,389.63
  5. Step 5: Solve for x
    x = 2,099,624,389.63/52,728.56
  6. Step 6: Final answer
    x = 39,819.49

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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.