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Finding the Fourth Proportional to 127,292.21, 190,965.65 and 43,048.21

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Solution

The fourth proportional to 127,292.21, 190,965.65 and 43,048.21 is: 64,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,292.21 : 190,965.65 = 43,048.21 : x
  2. Step 2: Convert to fraction form
    127,292.21/190,965.65 = 43,048.21/x
  3. Step 3: Cross multiply
    127,292.21x = 190,965.65 × 43,048.21
  4. Step 4: Simplify right side
    127,292.21x = 8,220,729,311.54
  5. Step 5: Solve for x
    x = 8,220,729,311.54/127,292.21
  6. Step 6: Final answer
    x = 64,581.56

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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.