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Finding the Fourth Proportional to 127,680, 191,520 and 40,128

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Solution

The fourth proportional to 127,680, 191,520 and 40,128 is: 60,192

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,680 : 191,520 = 40,128 : x
  2. Step 2: Convert to fraction form
    127,680/191,520 = 40,128/x
  3. Step 3: Cross multiply
    127,680x = 191,520 × 40,128
  4. Step 4: Simplify right side
    127,680x = 7,685,314,560
  5. Step 5: Solve for x
    x = 7,685,314,560/127,680
  6. Step 6: Final answer
    x = 60,192

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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.