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Finding the Fourth Proportional to 178,696.89, 268,054.56 and 45,578.31

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Solution

The fourth proportional to 178,696.89, 268,054.56 and 45,578.31 is: 68,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,696.89 : 268,054.56 = 45,578.31 : x
  2. Step 2: Convert to fraction form
    178,696.89/268,054.56 = 45,578.31/x
  3. Step 3: Cross multiply
    178,696.89x = 268,054.56 × 45,578.31
  4. Step 4: Simplify right side
    178,696.89x = 12,217,473,832.59
  5. Step 5: Solve for x
    x = 12,217,473,832.59/178,696.89
  6. Step 6: Final answer
    x = 68,369.82

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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.