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Finding the Fourth Proportional to 54,869, 75,719.22 and 29,718.50

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Solution

The fourth proportional to 54,869, 75,719.22 and 29,718.50 is: 41,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,869 : 75,719.22 = 29,718.50 : x
  2. Step 2: Convert to fraction form
    54,869/75,719.22 = 29,718.50/x
  3. Step 3: Cross multiply
    54,869x = 75,719.22 × 29,718.50
  4. Step 4: Simplify right side
    54,869x = 2,250,261,639.57
  5. Step 5: Solve for x
    x = 2,250,261,639.57/54,869
  6. Step 6: Final answer
    x = 41,011.53

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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.