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Finding the Fourth Proportional to 178,758.82, 268,137.99 and 45,639.10

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Solution

The fourth proportional to 178,758.82, 268,137.99 and 45,639.10 is: 68,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,758.82 : 268,137.99 = 45,639.10 : x
  2. Step 2: Convert to fraction form
    178,758.82/268,137.99 = 45,639.10/x
  3. Step 3: Cross multiply
    178,758.82x = 268,137.99 × 45,639.10
  4. Step 4: Simplify right side
    178,758.82x = 12,237,576,539.41
  5. Step 5: Solve for x
    x = 12,237,576,539.41/178,758.82
  6. Step 6: Final answer
    x = 68,458.59

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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.