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Finding the Fourth Proportional to 126,513.48, 189,676.46 and 76,581.77

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Solution

The fourth proportional to 126,513.48, 189,676.46 and 76,581.77 is: 114,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,513.48 : 189,676.46 = 76,581.77 : x
  2. Step 2: Convert to fraction form
    126,513.48/189,676.46 = 76,581.77/x
  3. Step 3: Cross multiply
    126,513.48x = 189,676.46 × 76,581.77
  4. Step 4: Simplify right side
    126,513.48x = 14,525,758,277.21
  5. Step 5: Solve for x
    x = 14,525,758,277.21/126,513.48
  6. Step 6: Final answer
    x = 114,815.89

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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.