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Finding the Fourth Proportional to 54,960.50, 75,845.50 and 31,086.66

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Solution

The fourth proportional to 54,960.50, 75,845.50 and 31,086.66 is: 42,899.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,960.50 : 75,845.50 = 31,086.66 : x
  2. Step 2: Convert to fraction form
    54,960.50/75,845.50 = 31,086.66/x
  3. Step 3: Cross multiply
    54,960.50x = 75,845.50 × 31,086.66
  4. Step 4: Simplify right side
    54,960.50x = 2,357,783,115.60
  5. Step 5: Solve for x
    x = 2,357,783,115.60/54,960.50
  6. Step 6: Final answer
    x = 42,899.59

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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.