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Finding the Fourth Proportional to 126,500.80, 189,969.90 and 122,564.20

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Solution

The fourth proportional to 126,500.80, 189,969.90 and 122,564.20 is: 184,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,500.80 : 189,969.90 = 122,564.20 : x
  2. Step 2: Convert to fraction form
    126,500.80/189,969.90 = 122,564.20/x
  3. Step 3: Cross multiply
    126,500.80x = 189,969.90 × 122,564.20
  4. Step 4: Simplify right side
    126,500.80x = 23,283,508,817.58
  5. Step 5: Solve for x
    x = 23,283,508,817.58/126,500.80
  6. Step 6: Final answer
    x = 184,058.19

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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.