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Finding the Fourth Proportional to 149,176.88, 205,864.10 and 82,108.88

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Solution

The fourth proportional to 149,176.88, 205,864.10 and 82,108.88 is: 113,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,176.88 : 205,864.10 = 82,108.88 : x
  2. Step 2: Convert to fraction form
    149,176.88/205,864.10 = 82,108.88/x
  3. Step 3: Cross multiply
    149,176.88x = 205,864.10 × 82,108.88
  4. Step 4: Simplify right side
    149,176.88x = 16,903,269,243.34
  5. Step 5: Solve for x
    x = 16,903,269,243.34/149,176.88
  6. Step 6: Final answer
    x = 113,310.25

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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.