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Finding the Fourth Proportional to 51,763, 71,432.96 and 29,407

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Solution

The fourth proportional to 51,763, 71,432.96 and 29,407 is: 40,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,763 : 71,432.96 = 29,407 : x
  2. Step 2: Convert to fraction form
    51,763/71,432.96 = 29,407/x
  3. Step 3: Cross multiply
    51,763x = 71,432.96 × 29,407
  4. Step 4: Simplify right side
    51,763x = 2,100,629,054.72
  5. Step 5: Solve for x
    x = 2,100,629,054.72/51,763
  6. Step 6: Final answer
    x = 40,581.67

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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.