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Finding the Fourth Proportional to 126,270, 189,405.36 and 32,776.56

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Solution

The fourth proportional to 126,270, 189,405.36 and 32,776.56 is: 49,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,270 : 189,405.36 = 32,776.56 : x
  2. Step 2: Convert to fraction form
    126,270/189,405.36 = 32,776.56/x
  3. Step 3: Cross multiply
    126,270x = 189,405.36 × 32,776.56
  4. Step 4: Simplify right side
    126,270x = 6,208,056,146.36
  5. Step 5: Solve for x
    x = 6,208,056,146.36/126,270
  6. Step 6: Final answer
    x = 49,164.93

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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.