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Finding the Fourth Proportional to 208,530, 287,769.78 and 113,034.24

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Solution

The fourth proportional to 208,530, 287,769.78 and 113,034.24 is: 155,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,530 : 287,769.78 = 113,034.24 : x
  2. Step 2: Convert to fraction form
    208,530/287,769.78 = 113,034.24/x
  3. Step 3: Cross multiply
    208,530x = 287,769.78 × 113,034.24
  4. Step 4: Simplify right side
    208,530x = 32,527,838,377.27
  5. Step 5: Solve for x
    x = 32,527,838,377.27/208,530
  6. Step 6: Final answer
    x = 155,986.37

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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.