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Finding the Fourth Proportional to 54,308.76, 74,940 and 30,432

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Solution

The fourth proportional to 54,308.76, 74,940 and 30,432 is: 41,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,308.76 : 74,940 = 30,432 : x
  2. Step 2: Convert to fraction form
    54,308.76/74,940 = 30,432/x
  3. Step 3: Cross multiply
    54,308.76x = 74,940 × 30,432
  4. Step 4: Simplify right side
    54,308.76x = 2,280,574,080
  5. Step 5: Solve for x
    x = 2,280,574,080/54,308.76
  6. Step 6: Final answer
    x = 41,992.75

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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.