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Finding the Fourth Proportional to 53,647.62, 80,471.43 and 28,611.82

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Solution

The fourth proportional to 53,647.62, 80,471.43 and 28,611.82 is: 42,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647.62 : 80,471.43 = 28,611.82 : x
  2. Step 2: Convert to fraction form
    53,647.62/80,471.43 = 28,611.82/x
  3. Step 3: Cross multiply
    53,647.62x = 80,471.43 × 28,611.82
  4. Step 4: Simplify right side
    53,647.62x = 2,302,434,070.30
  5. Step 5: Solve for x
    x = 2,302,434,070.30/53,647.62
  6. Step 6: Final answer
    x = 42,917.73

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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.