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Finding the Fourth Proportional to 54,677.29, 81,716.34 and 39,917.29

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Solution

The fourth proportional to 54,677.29, 81,716.34 and 39,917.29 is: 59,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,677.29 : 81,716.34 = 39,917.29 : x
  2. Step 2: Convert to fraction form
    54,677.29/81,716.34 = 39,917.29/x
  3. Step 3: Cross multiply
    54,677.29x = 81,716.34 × 39,917.29
  4. Step 4: Simplify right side
    54,677.29x = 3,261,894,432.94
  5. Step 5: Solve for x
    x = 3,261,894,432.94/54,677.29
  6. Step 6: Final answer
    x = 59,657.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.