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Finding the Fourth Proportional to 154,504.66, 231,843.11 and 83,425.80

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Solution

The fourth proportional to 154,504.66, 231,843.11 and 83,425.80 is: 125,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,504.66 : 231,843.11 = 83,425.80 : x
  2. Step 2: Convert to fraction form
    154,504.66/231,843.11 = 83,425.80/x
  3. Step 3: Cross multiply
    154,504.66x = 231,843.11 × 83,425.80
  4. Step 4: Simplify right side
    154,504.66x = 19,341,695,639.70
  5. Step 5: Solve for x
    x = 19,341,695,639.70/154,504.66
  6. Step 6: Final answer
    x = 125,185.19

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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.