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Finding the Fourth Proportional to 126,641.50, 189,962.43 and 43,535.50

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Solution

The fourth proportional to 126,641.50, 189,962.43 and 43,535.50 is: 65,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,641.50 : 189,962.43 = 43,535.50 : x
  2. Step 2: Convert to fraction form
    126,641.50/189,962.43 = 43,535.50/x
  3. Step 3: Cross multiply
    126,641.50x = 189,962.43 × 43,535.50
  4. Step 4: Simplify right side
    126,641.50x = 8,270,109,371.27
  5. Step 5: Solve for x
    x = 8,270,109,371.27/126,641.50
  6. Step 6: Final answer
    x = 65,303.31

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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.