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Finding the Fourth Proportional to 226,766.40, 340,185.60 and 77,020.80

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Solution

The fourth proportional to 226,766.40, 340,185.60 and 77,020.80 is: 115,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,766.40 : 340,185.60 = 77,020.80 : x
  2. Step 2: Convert to fraction form
    226,766.40/340,185.60 = 77,020.80/x
  3. Step 3: Cross multiply
    226,766.40x = 340,185.60 × 77,020.80
  4. Step 4: Simplify right side
    226,766.40x = 26,201,367,060.48
  5. Step 5: Solve for x
    x = 26,201,367,060.48/226,766.40
  6. Step 6: Final answer
    x = 115,543.43

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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.