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Finding the Fourth Proportional to 73,768.76, 110,653.20 and 31,621.50

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Solution

The fourth proportional to 73,768.76, 110,653.20 and 31,621.50 is: 47,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,768.76 : 110,653.20 = 31,621.50 : x
  2. Step 2: Convert to fraction form
    73,768.76/110,653.20 = 31,621.50/x
  3. Step 3: Cross multiply
    73,768.76x = 110,653.20 × 31,621.50
  4. Step 4: Simplify right side
    73,768.76x = 3,499,020,163.80
  5. Step 5: Solve for x
    x = 3,499,020,163.80/73,768.76
  6. Step 6: Final answer
    x = 47,432.28

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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.