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Finding the Fourth Proportional to 253,939.41, 381,084.08 and 113,854.77

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Solution

The fourth proportional to 253,939.41, 381,084.08 and 113,854.77 is: 170,860.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,939.41 : 381,084.08 = 113,854.77 : x
  2. Step 2: Convert to fraction form
    253,939.41/381,084.08 = 113,854.77/x
  3. Step 3: Cross multiply
    253,939.41x = 381,084.08 × 113,854.77
  4. Step 4: Simplify right side
    253,939.41x = 43,388,239,709.79
  5. Step 5: Solve for x
    x = 43,388,239,709.79/253,939.41
  6. Step 6: Final answer
    x = 170,860.60

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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.