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Finding the Fourth Proportional to 58,847.72, 81,206.44 and 31,990

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Solution

The fourth proportional to 58,847.72, 81,206.44 and 31,990 is: 44,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,847.72 : 81,206.44 = 31,990 : x
  2. Step 2: Convert to fraction form
    58,847.72/81,206.44 = 31,990/x
  3. Step 3: Cross multiply
    58,847.72x = 81,206.44 × 31,990
  4. Step 4: Simplify right side
    58,847.72x = 2,597,794,015.60
  5. Step 5: Solve for x
    x = 2,597,794,015.60/58,847.72
  6. Step 6: Final answer
    x = 44,144.34

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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.