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Finding the Fourth Proportional to 51,034.50, 70,427.97 and 28,678.50

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Solution

The fourth proportional to 51,034.50, 70,427.97 and 28,678.50 is: 39,576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.50 : 70,427.97 = 28,678.50 : x
  2. Step 2: Convert to fraction form
    51,034.50/70,427.97 = 28,678.50/x
  3. Step 3: Cross multiply
    51,034.50x = 70,427.97 × 28,678.50
  4. Step 4: Simplify right side
    51,034.50x = 2,019,768,537.65
  5. Step 5: Solve for x
    x = 2,019,768,537.65/51,034.50
  6. Step 6: Final answer
    x = 39,576.53

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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.