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Finding the Fourth Proportional to 131,181.64, 181,029.78 and 74,593

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Solution

The fourth proportional to 131,181.64, 181,029.78 and 74,593 is: 102,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,181.64 : 181,029.78 = 74,593 : x
  2. Step 2: Convert to fraction form
    131,181.64/181,029.78 = 74,593/x
  3. Step 3: Cross multiply
    131,181.64x = 181,029.78 × 74,593
  4. Step 4: Simplify right side
    131,181.64x = 13,503,554,379.54
  5. Step 5: Solve for x
    x = 13,503,554,379.54/131,181.64
  6. Step 6: Final answer
    x = 102,937.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.