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Finding the Fourth Proportional to 51,475.56, 77,213.40 and 20,310

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Solution

The fourth proportional to 51,475.56, 77,213.40 and 20,310 is: 30,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,475.56 : 77,213.40 = 20,310 : x
  2. Step 2: Convert to fraction form
    51,475.56/77,213.40 = 20,310/x
  3. Step 3: Cross multiply
    51,475.56x = 77,213.40 × 20,310
  4. Step 4: Simplify right side
    51,475.56x = 1,568,204,154
  5. Step 5: Solve for x
    x = 1,568,204,154/51,475.56
  6. Step 6: Final answer
    x = 30,465.02

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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.