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Finding the Fourth Proportional to 154,605.56, 231,829.97 and 54,751.69

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Solution

The fourth proportional to 154,605.56, 231,829.97 and 54,751.69 is: 82,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,605.56 : 231,829.97 = 54,751.69 : x
  2. Step 2: Convert to fraction form
    154,605.56/231,829.97 = 54,751.69/x
  3. Step 3: Cross multiply
    154,605.56x = 231,829.97 × 54,751.69
  4. Step 4: Simplify right side
    154,605.56x = 12,693,082,666.18
  5. Step 5: Solve for x
    x = 12,693,082,666.18/154,605.56
  6. Step 6: Final answer
    x = 82,099.78

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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.