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Finding the Fourth Proportional to 119,005.78, 178,396.64 and 40,064.86

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Solution

The fourth proportional to 119,005.78, 178,396.64 and 40,064.86 is: 60,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,005.78 : 178,396.64 = 40,064.86 : x
  2. Step 2: Convert to fraction form
    119,005.78/178,396.64 = 40,064.86/x
  3. Step 3: Cross multiply
    119,005.78x = 178,396.64 × 40,064.86
  4. Step 4: Simplify right side
    119,005.78x = 7,147,436,406.07
  5. Step 5: Solve for x
    x = 7,147,436,406.07/119,005.78
  6. Step 6: Final answer
    x = 60,059.57

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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.