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Finding the Fourth Proportional to 70,632.94, 105,921.24 and 31,162

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Solution

The fourth proportional to 70,632.94, 105,921.24 and 31,162 is: 46,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632.94 : 105,921.24 = 31,162 : x
  2. Step 2: Convert to fraction form
    70,632.94/105,921.24 = 31,162/x
  3. Step 3: Cross multiply
    70,632.94x = 105,921.24 × 31,162
  4. Step 4: Simplify right side
    70,632.94x = 3,300,717,680.88
  5. Step 5: Solve for x
    x = 3,300,717,680.88/70,632.94
  6. Step 6: Final answer
    x = 46,730.57

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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.