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Finding the Fourth Proportional to 145,048.56, 200,163.81 and 80,513.98

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Solution

The fourth proportional to 145,048.56, 200,163.81 and 80,513.98 is: 111,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,048.56 : 200,163.81 = 80,513.98 : x
  2. Step 2: Convert to fraction form
    145,048.56/200,163.81 = 80,513.98/x
  3. Step 3: Cross multiply
    145,048.56x = 200,163.81 × 80,513.98
  4. Step 4: Simplify right side
    145,048.56x = 16,115,984,995.06
  5. Step 5: Solve for x
    x = 16,115,984,995.06/145,048.56
  6. Step 6: Final answer
    x = 111,107.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.