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Finding the Fourth Proportional to 170,144, 255,196.55 and 45,494.72

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Solution

The fourth proportional to 170,144, 255,196.55 and 45,494.72 is: 68,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,144 : 255,196.55 = 45,494.72 : x
  2. Step 2: Convert to fraction form
    170,144/255,196.55 = 45,494.72/x
  3. Step 3: Cross multiply
    170,144x = 255,196.55 × 45,494.72
  4. Step 4: Simplify right side
    170,144x = 11,610,095,359.74
  5. Step 5: Solve for x
    x = 11,610,095,359.74/170,144
  6. Step 6: Final answer
    x = 68,236.88

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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.