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Finding the Fourth Proportional to 113,764.80, 170,787.60 and 71,644.80

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Solution

The fourth proportional to 113,764.80, 170,787.60 and 71,644.80 is: 107,555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,764.80 : 170,787.60 = 71,644.80 : x
  2. Step 2: Convert to fraction form
    113,764.80/170,787.60 = 71,644.80/x
  3. Step 3: Cross multiply
    113,764.80x = 170,787.60 × 71,644.80
  4. Step 4: Simplify right side
    113,764.80x = 12,236,043,444.48
  5. Step 5: Solve for x
    x = 12,236,043,444.48/113,764.80
  6. Step 6: Final answer
    x = 107,555.62

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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.