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Finding the Fourth Proportional to 85,120, 127,680 and 26,752

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Solution

The fourth proportional to 85,120, 127,680 and 26,752 is: 40,128

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,120 : 127,680 = 26,752 : x
  2. Step 2: Convert to fraction form
    85,120/127,680 = 26,752/x
  3. Step 3: Cross multiply
    85,120x = 127,680 × 26,752
  4. Step 4: Simplify right side
    85,120x = 3,415,695,360
  5. Step 5: Solve for x
    x = 3,415,695,360/85,120
  6. Step 6: Final answer
    x = 40,128

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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.