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Finding the Fourth Proportional to 54,959.40, 82,439.10 and 47,442.60

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Solution

The fourth proportional to 54,959.40, 82,439.10 and 47,442.60 is: 71,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,959.40 : 82,439.10 = 47,442.60 : x
  2. Step 2: Convert to fraction form
    54,959.40/82,439.10 = 47,442.60/x
  3. Step 3: Cross multiply
    54,959.40x = 82,439.10 × 47,442.60
  4. Step 4: Simplify right side
    54,959.40x = 3,911,125,245.66
  5. Step 5: Solve for x
    x = 3,911,125,245.66/54,959.40
  6. Step 6: Final answer
    x = 71,163.90

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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.