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Finding the Fourth Proportional to 51,239, 70,709.82 and 28,883

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Solution

The fourth proportional to 51,239, 70,709.82 and 28,883 is: 39,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,239 : 70,709.82 = 28,883 : x
  2. Step 2: Convert to fraction form
    51,239/70,709.82 = 28,883/x
  3. Step 3: Cross multiply
    51,239x = 70,709.82 × 28,883
  4. Step 4: Simplify right side
    51,239x = 2,042,311,731.06
  5. Step 5: Solve for x
    x = 2,042,311,731.06/51,239
  6. Step 6: Final answer
    x = 39,858.54

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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.