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Finding the Fourth Proportional to 171,819.53, 256,334.32 and 162,519.31

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Solution

The fourth proportional to 171,819.53, 256,334.32 and 162,519.31 is: 242,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,819.53 : 256,334.32 = 162,519.31 : x
  2. Step 2: Convert to fraction form
    171,819.53/256,334.32 = 162,519.31/x
  3. Step 3: Cross multiply
    171,819.53x = 256,334.32 × 162,519.31
  4. Step 4: Simplify right side
    171,819.53x = 41,659,277,339.29
  5. Step 5: Solve for x
    x = 41,659,277,339.29/171,819.53
  6. Step 6: Final answer
    x = 242,459.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.