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Finding the Fourth Proportional to 54,028, 74,567.28 and 31,672

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Solution

The fourth proportional to 54,028, 74,567.28 and 31,672 is: 43,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,028 : 74,567.28 = 31,672 : x
  2. Step 2: Convert to fraction form
    54,028/74,567.28 = 31,672/x
  3. Step 3: Cross multiply
    54,028x = 74,567.28 × 31,672
  4. Step 4: Simplify right side
    54,028x = 2,361,694,892.16
  5. Step 5: Solve for x
    x = 2,361,694,892.16/54,028
  6. Step 6: Final answer
    x = 43,712.42

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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.