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Finding the Fourth Proportional to 171,489.71, 257,141.77 and 136,178.19

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Solution

The fourth proportional to 171,489.71, 257,141.77 and 136,178.19 is: 204,193.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,489.71 : 257,141.77 = 136,178.19 : x
  2. Step 2: Convert to fraction form
    171,489.71/257,141.77 = 136,178.19/x
  3. Step 3: Cross multiply
    171,489.71x = 257,141.77 × 136,178.19
  4. Step 4: Simplify right side
    171,489.71x = 35,017,100,471.55
  5. Step 5: Solve for x
    x = 35,017,100,471.55/171,489.71
  6. Step 6: Final answer
    x = 204,193.59

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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.