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Finding the Fourth Proportional to 132,203.57, 182,469.71 and 81,243.09

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Solution

The fourth proportional to 132,203.57, 182,469.71 and 81,243.09 is: 112,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,203.57 : 182,469.71 = 81,243.09 : x
  2. Step 2: Convert to fraction form
    132,203.57/182,469.71 = 81,243.09/x
  3. Step 3: Cross multiply
    132,203.57x = 182,469.71 × 81,243.09
  4. Step 4: Simplify right side
    132,203.57x = 14,824,403,274.91
  5. Step 5: Solve for x
    x = 14,824,403,274.91/132,203.57
  6. Step 6: Final answer
    x = 112,133.16

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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.