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Finding the Fourth Proportional to 51,205.68, 76,808.40 and 20,019

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Solution

The fourth proportional to 51,205.68, 76,808.40 and 20,019 is: 30,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,205.68 : 76,808.40 = 20,019 : x
  2. Step 2: Convert to fraction form
    51,205.68/76,808.40 = 20,019/x
  3. Step 3: Cross multiply
    51,205.68x = 76,808.40 × 20,019
  4. Step 4: Simplify right side
    51,205.68x = 1,537,627,359.60
  5. Step 5: Solve for x
    x = 1,537,627,359.60/51,205.68
  6. Step 6: Final answer
    x = 30,028.45

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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.