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Finding the Fourth Proportional to 127,684, 191,526 and 40,132

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Solution

The fourth proportional to 127,684, 191,526 and 40,132 is: 60,198

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,684 : 191,526 = 40,132 : x
  2. Step 2: Convert to fraction form
    127,684/191,526 = 40,132/x
  3. Step 3: Cross multiply
    127,684x = 191,526 × 40,132
  4. Step 4: Simplify right side
    127,684x = 7,686,321,432
  5. Step 5: Solve for x
    x = 7,686,321,432/127,684
  6. Step 6: Final answer
    x = 60,198

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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.