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Finding the Fourth Proportional to 127,143.88, 190,725.18 and 33,649

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Solution

The fourth proportional to 127,143.88, 190,725.18 and 33,649 is: 50,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,143.88 : 190,725.18 = 33,649 : x
  2. Step 2: Convert to fraction form
    127,143.88/190,725.18 = 33,649/x
  3. Step 3: Cross multiply
    127,143.88x = 190,725.18 × 33,649
  4. Step 4: Simplify right side
    127,143.88x = 6,417,711,581.82
  5. Step 5: Solve for x
    x = 6,417,711,581.82/127,143.88
  6. Step 6: Final answer
    x = 50,475.98

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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.