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Finding the Fourth Proportional to 54,978.41, 82,470.94 and 15,538.47

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Solution

The fourth proportional to 54,978.41, 82,470.94 and 15,538.47 is: 23,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.41 : 82,470.94 = 15,538.47 : x
  2. Step 2: Convert to fraction form
    54,978.41/82,470.94 = 15,538.47/x
  3. Step 3: Cross multiply
    54,978.41x = 82,470.94 × 15,538.47
  4. Step 4: Simplify right side
    54,978.41x = 1,281,472,188.22
  5. Step 5: Solve for x
    x = 1,281,472,188.22/54,978.41
  6. Step 6: Final answer
    x = 23,308.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.