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Finding the Fourth Proportional to 126,505.44, 189,758.16 and 43,400.16

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Solution

The fourth proportional to 126,505.44, 189,758.16 and 43,400.16 is: 65,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,505.44 : 189,758.16 = 43,400.16 : x
  2. Step 2: Convert to fraction form
    126,505.44/189,758.16 = 43,400.16/x
  3. Step 3: Cross multiply
    126,505.44x = 189,758.16 × 43,400.16
  4. Step 4: Simplify right side
    126,505.44x = 8,235,534,505.31
  5. Step 5: Solve for x
    x = 8,235,534,505.31/126,505.44
  6. Step 6: Final answer
    x = 65,100.24

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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.