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Finding the Fourth Proportional to 78,442.84, 108,260.31 and 46,611.73

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Solution

The fourth proportional to 78,442.84, 108,260.31 and 46,611.73 is: 64,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.84 : 108,260.31 = 46,611.73 : x
  2. Step 2: Convert to fraction form
    78,442.84/108,260.31 = 46,611.73/x
  3. Step 3: Cross multiply
    78,442.84x = 108,260.31 × 46,611.73
  4. Step 4: Simplify right side
    78,442.84x = 5,046,200,339.44
  5. Step 5: Solve for x
    x = 5,046,200,339.44/78,442.84
  6. Step 6: Final answer
    x = 64,329.65

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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.