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Finding the Fourth Proportional to 137,216.80, 205,825.20 and 43,722.55

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Solution

The fourth proportional to 137,216.80, 205,825.20 and 43,722.55 is: 65,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,216.80 : 205,825.20 = 43,722.55 : x
  2. Step 2: Convert to fraction form
    137,216.80/205,825.20 = 43,722.55/x
  3. Step 3: Cross multiply
    137,216.80x = 205,825.20 × 43,722.55
  4. Step 4: Simplify right side
    137,216.80x = 8,999,202,598.26
  5. Step 5: Solve for x
    x = 8,999,202,598.26/137,216.80
  6. Step 6: Final answer
    x = 65,583.83

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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.