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Finding the Fourth Proportional to 163,728, 225,945.72 and 92,107.44

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Solution

The fourth proportional to 163,728, 225,945.72 and 92,107.44 is: 127,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,728 : 225,945.72 = 92,107.44 : x
  2. Step 2: Convert to fraction form
    163,728/225,945.72 = 92,107.44/x
  3. Step 3: Cross multiply
    163,728x = 225,945.72 × 92,107.44
  4. Step 4: Simplify right side
    163,728x = 20,811,281,848.16
  5. Step 5: Solve for x
    x = 20,811,281,848.16/163,728
  6. Step 6: Final answer
    x = 127,108.87

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1.5x scale

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.