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Finding the Fourth Proportional to 126,692.72, 189,977.56 and 47,813.08

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Solution

The fourth proportional to 126,692.72, 189,977.56 and 47,813.08 is: 71,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,692.72 : 189,977.56 = 47,813.08 : x
  2. Step 2: Convert to fraction form
    126,692.72/189,977.56 = 47,813.08/x
  3. Step 3: Cross multiply
    126,692.72x = 189,977.56 × 47,813.08
  4. Step 4: Simplify right side
    126,692.72x = 9,083,412,274.48
  5. Step 5: Solve for x
    x = 9,083,412,274.48/126,692.72
  6. Step 6: Final answer
    x = 71,696.40

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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.