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Finding the Fourth Proportional to 126,010.70, 189,102.45 and 55,940.30

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Solution

The fourth proportional to 126,010.70, 189,102.45 and 55,940.30 is: 83,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,010.70 : 189,102.45 = 55,940.30 : x
  2. Step 2: Convert to fraction form
    126,010.70/189,102.45 = 55,940.30/x
  3. Step 3: Cross multiply
    126,010.70x = 189,102.45 × 55,940.30
  4. Step 4: Simplify right side
    126,010.70x = 10,578,447,783.74
  5. Step 5: Solve for x
    x = 10,578,447,783.74/126,010.70
  6. Step 6: Final answer
    x = 83,948.81

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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.