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Finding the Fourth Proportional to 171,729.60, 256,865.40 and 154,087.80

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Solution

The fourth proportional to 171,729.60, 256,865.40 and 154,087.80 is: 230,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,729.60 : 256,865.40 = 154,087.80 : x
  2. Step 2: Convert to fraction form
    171,729.60/256,865.40 = 154,087.80/x
  3. Step 3: Cross multiply
    171,729.60x = 256,865.40 × 154,087.80
  4. Step 4: Simplify right side
    171,729.60x = 39,579,824,382.12
  5. Step 5: Solve for x
    x = 39,579,824,382.12/171,729.60
  6. Step 6: Final answer
    x = 230,477.59

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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.