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Finding the Fourth Proportional to 51,172, 76,801.74 and 20,029.12

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Solution

The fourth proportional to 51,172, 76,801.74 and 20,029.12 is: 30,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,172 : 76,801.74 = 20,029.12 : x
  2. Step 2: Convert to fraction form
    51,172/76,801.74 = 20,029.12/x
  3. Step 3: Cross multiply
    51,172x = 76,801.74 × 20,029.12
  4. Step 4: Simplify right side
    51,172x = 1,538,271,266.67
  5. Step 5: Solve for x
    x = 1,538,271,266.67/51,172
  6. Step 6: Final answer
    x = 30,060.80

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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.