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Finding the Fourth Proportional to 126,041.81, 189,097.81 and 54,970.65

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Solution

The fourth proportional to 126,041.81, 189,097.81 and 54,970.65 is: 82,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,041.81 : 189,097.81 = 54,970.65 : x
  2. Step 2: Convert to fraction form
    126,041.81/189,097.81 = 54,970.65/x
  3. Step 3: Cross multiply
    126,041.81x = 189,097.81 × 54,970.65
  4. Step 4: Simplify right side
    126,041.81x = 10,394,829,391.85
  5. Step 5: Solve for x
    x = 10,394,829,391.85/126,041.81
  6. Step 6: Final answer
    x = 82,471.28

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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.