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Finding the Fourth Proportional to 227,275, 340,961.72 and 87,033.64

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Solution

The fourth proportional to 227,275, 340,961.72 and 87,033.64 is: 130,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,275 : 340,961.72 = 87,033.64 : x
  2. Step 2: Convert to fraction form
    227,275/340,961.72 = 87,033.64/x
  3. Step 3: Cross multiply
    227,275x = 340,961.72 × 87,033.64
  4. Step 4: Simplify right side
    227,275x = 29,675,139,592.26
  5. Step 5: Solve for x
    x = 29,675,139,592.26/227,275
  6. Step 6: Final answer
    x = 130,569.31

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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.