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Finding the Fourth Proportional to 186,749.37, 280,123.86 and 68,429.97

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Solution

The fourth proportional to 186,749.37, 280,123.86 and 68,429.97 is: 102,644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,749.37 : 280,123.86 = 68,429.97 : x
  2. Step 2: Convert to fraction form
    186,749.37/280,123.86 = 68,429.97/x
  3. Step 3: Cross multiply
    186,749.37x = 280,123.86 × 68,429.97
  4. Step 4: Simplify right side
    186,749.37x = 19,168,867,336.08
  5. Step 5: Solve for x
    x = 19,168,867,336.08/186,749.37
  6. Step 6: Final answer
    x = 102,644.88

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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.