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Finding the Fourth Proportional to 51,078.52, 70,466.70 and 31,195

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Solution

The fourth proportional to 51,078.52, 70,466.70 and 31,195 is: 43,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,078.52 : 70,466.70 = 31,195 : x
  2. Step 2: Convert to fraction form
    51,078.52/70,466.70 = 31,195/x
  3. Step 3: Cross multiply
    51,078.52x = 70,466.70 × 31,195
  4. Step 4: Simplify right side
    51,078.52x = 2,198,208,706.50
  5. Step 5: Solve for x
    x = 2,198,208,706.50/51,078.52
  6. Step 6: Final answer
    x = 43,035.87

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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.