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Finding the Fourth Proportional to 54,310.54, 74,870 and 38,128.56

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Solution

The fourth proportional to 54,310.54, 74,870 and 38,128.56 is: 52,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,310.54 : 74,870 = 38,128.56 : x
  2. Step 2: Convert to fraction form
    54,310.54/74,870 = 38,128.56/x
  3. Step 3: Cross multiply
    54,310.54x = 74,870 × 38,128.56
  4. Step 4: Simplify right side
    54,310.54x = 2,854,685,287.20
  5. Step 5: Solve for x
    x = 2,854,685,287.20/54,310.54
  6. Step 6: Final answer
    x = 52,562.27

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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.