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Finding the Fourth Proportional to 54,978.60, 82,454.70 and 15,539.40

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Solution

The fourth proportional to 54,978.60, 82,454.70 and 15,539.40 is: 23,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,978.60 : 82,454.70 = 15,539.40 : x
  2. Step 2: Convert to fraction form
    54,978.60/82,454.70 = 15,539.40/x
  3. Step 3: Cross multiply
    54,978.60x = 82,454.70 × 15,539.40
  4. Step 4: Simplify right side
    54,978.60x = 1,281,296,565.18
  5. Step 5: Solve for x
    x = 1,281,296,565.18/54,978.60
  6. Step 6: Final answer
    x = 23,305.37

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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.