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Finding the Fourth Proportional to 73,284.46, 109,928.88 and 20,688.46

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Solution

The fourth proportional to 73,284.46, 109,928.88 and 20,688.46 is: 31,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,284.46 : 109,928.88 = 20,688.46 : x
  2. Step 2: Convert to fraction form
    73,284.46/109,928.88 = 20,688.46/x
  3. Step 3: Cross multiply
    73,284.46x = 109,928.88 × 20,688.46
  4. Step 4: Simplify right side
    73,284.46x = 2,274,259,236.72
  5. Step 5: Solve for x
    x = 2,274,259,236.72/73,284.46
  6. Step 6: Final answer
    x = 31,033.31

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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.