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Finding the Fourth Proportional to 54,582.78, 75,318.90 and 30,708.94

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Solution

The fourth proportional to 54,582.78, 75,318.90 and 30,708.94 is: 42,375.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582.78 : 75,318.90 = 30,708.94 : x
  2. Step 2: Convert to fraction form
    54,582.78/75,318.90 = 30,708.94/x
  3. Step 3: Cross multiply
    54,582.78x = 75,318.90 × 30,708.94
  4. Step 4: Simplify right side
    54,582.78x = 2,312,963,580.97
  5. Step 5: Solve for x
    x = 2,312,963,580.97/54,582.78
  6. Step 6: Final answer
    x = 42,375.33

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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.