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Finding the Fourth Proportional to 52,252.80, 78,400.80 and 28,872.96

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Solution

The fourth proportional to 52,252.80, 78,400.80 and 28,872.96 is: 43,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,252.80 : 78,400.80 = 28,872.96 : x
  2. Step 2: Convert to fraction form
    52,252.80/78,400.80 = 28,872.96/x
  3. Step 3: Cross multiply
    52,252.80x = 78,400.80 × 28,872.96
  4. Step 4: Simplify right side
    52,252.80x = 2,263,663,162.37
  5. Step 5: Solve for x
    x = 2,263,663,162.37/52,252.80
  6. Step 6: Final answer
    x = 43,321.38

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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.