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Finding the Fourth Proportional to 127,142.88, 190,723.68 and 33,648

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Solution

The fourth proportional to 127,142.88, 190,723.68 and 33,648 is: 50,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,142.88 : 190,723.68 = 33,648 : x
  2. Step 2: Convert to fraction form
    127,142.88/190,723.68 = 33,648/x
  3. Step 3: Cross multiply
    127,142.88x = 190,723.68 × 33,648
  4. Step 4: Simplify right side
    127,142.88x = 6,417,470,384.64
  5. Step 5: Solve for x
    x = 6,417,470,384.64/127,142.88
  6. Step 6: Final answer
    x = 50,474.48

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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.