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Finding the Fourth Proportional to 127,406.76, 191,110.56 and 38,661

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Solution

The fourth proportional to 127,406.76, 191,110.56 and 38,661 is: 57,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,406.76 : 191,110.56 = 38,661 : x
  2. Step 2: Convert to fraction form
    127,406.76/191,110.56 = 38,661/x
  3. Step 3: Cross multiply
    127,406.76x = 191,110.56 × 38,661
  4. Step 4: Simplify right side
    127,406.76x = 7,388,525,360.16
  5. Step 5: Solve for x
    x = 7,388,525,360.16/127,406.76
  6. Step 6: Final answer
    x = 57,991.63

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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.