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Finding the Fourth Proportional to 51,302.70, 76,959.72 and 21,313.67

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Solution

The fourth proportional to 51,302.70, 76,959.72 and 21,313.67 is: 31,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302.70 : 76,959.72 = 21,313.67 : x
  2. Step 2: Convert to fraction form
    51,302.70/76,959.72 = 21,313.67/x
  3. Step 3: Cross multiply
    51,302.70x = 76,959.72 × 21,313.67
  4. Step 4: Simplify right side
    51,302.70x = 1,640,293,690.57
  5. Step 5: Solve for x
    x = 1,640,293,690.57/51,302.70
  6. Step 6: Final answer
    x = 31,972.85

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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.