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Finding the Fourth Proportional to 145,351.43, 200,601.60 and 80,827.10

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Solution

The fourth proportional to 145,351.43, 200,601.60 and 80,827.10 is: 111,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,351.43 : 200,601.60 = 80,827.10 : x
  2. Step 2: Convert to fraction form
    145,351.43/200,601.60 = 80,827.10/x
  3. Step 3: Cross multiply
    145,351.43x = 200,601.60 × 80,827.10
  4. Step 4: Simplify right side
    145,351.43x = 16,214,045,583.36
  5. Step 5: Solve for x
    x = 16,214,045,583.36/145,351.43
  6. Step 6: Final answer
    x = 111,550.64

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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.