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Finding the Fourth Proportional to 54,585.53, 75,327.89 and 30,712.23

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Solution

The fourth proportional to 54,585.53, 75,327.89 and 30,712.23 is: 42,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,585.53 : 75,327.89 = 30,712.23 : x
  2. Step 2: Convert to fraction form
    54,585.53/75,327.89 = 30,712.23/x
  3. Step 3: Cross multiply
    54,585.53x = 75,327.89 × 30,712.23
  4. Step 4: Simplify right side
    54,585.53x = 2,313,487,329.53
  5. Step 5: Solve for x
    x = 2,313,487,329.53/54,585.53
  6. Step 6: Final answer
    x = 42,382.80

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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.