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Finding the Fourth Proportional to 126,858.42, 189,984.48 and 70,558.68

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Solution

The fourth proportional to 126,858.42, 189,984.48 and 70,558.68 is: 105,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,858.42 : 189,984.48 = 70,558.68 : x
  2. Step 2: Convert to fraction form
    126,858.42/189,984.48 = 70,558.68/x
  3. Step 3: Cross multiply
    126,858.42x = 189,984.48 × 70,558.68
  4. Step 4: Simplify right side
    126,858.42x = 13,405,054,129.29
  5. Step 5: Solve for x
    x = 13,405,054,129.29/126,858.42
  6. Step 6: Final answer
    x = 105,669.41

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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.