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Finding the Fourth Proportional to 171,144.64, 256,724.88 and 121,447.36

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Solution

The fourth proportional to 171,144.64, 256,724.88 and 121,447.36 is: 182,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,144.64 : 256,724.88 = 121,447.36 : x
  2. Step 2: Convert to fraction form
    171,144.64/256,724.88 = 121,447.36/x
  3. Step 3: Cross multiply
    171,144.64x = 256,724.88 × 121,447.36
  4. Step 4: Simplify right side
    171,144.64x = 31,178,558,922.32
  5. Step 5: Solve for x
    x = 31,178,558,922.32/171,144.64
  6. Step 6: Final answer
    x = 182,176.66

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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.