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Finding the Fourth Proportional to 125,835.40, 188,840.46 and 81,351.80

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Solution

The fourth proportional to 125,835.40, 188,840.46 and 81,351.80 is: 122,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,835.40 : 188,840.46 = 81,351.80 : x
  2. Step 2: Convert to fraction form
    125,835.40/188,840.46 = 81,351.80/x
  3. Step 3: Cross multiply
    125,835.40x = 188,840.46 × 81,351.80
  4. Step 4: Simplify right side
    125,835.40x = 15,362,511,333.83
  5. Step 5: Solve for x
    x = 15,362,511,333.83/125,835.40
  6. Step 6: Final answer
    x = 122,084.18

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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.