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Finding the Fourth Proportional to 275,244, 412,935.36 and 78,252

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Solution

The fourth proportional to 275,244, 412,935.36 and 78,252 is: 117,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,244 : 412,935.36 = 78,252 : x
  2. Step 2: Convert to fraction form
    275,244/412,935.36 = 78,252/x
  3. Step 3: Cross multiply
    275,244x = 412,935.36 × 78,252
  4. Step 4: Simplify right side
    275,244x = 32,313,017,790.72
  5. Step 5: Solve for x
    x = 32,313,017,790.72/275,244
  6. Step 6: Final answer
    x = 117,397.72

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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.