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Finding the Fourth Proportional to 51,731.76, 71,389.90 and 29,375.76

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Solution

The fourth proportional to 51,731.76, 71,389.90 and 29,375.76 is: 40,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,731.76 : 71,389.90 = 29,375.76 : x
  2. Step 2: Convert to fraction form
    51,731.76/71,389.90 = 29,375.76/x
  3. Step 3: Cross multiply
    51,731.76x = 71,389.90 × 29,375.76
  4. Step 4: Simplify right side
    51,731.76x = 2,097,132,568.82
  5. Step 5: Solve for x
    x = 2,097,132,568.82/51,731.76
  6. Step 6: Final answer
    x = 40,538.59

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1.5x scale

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.