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Finding the Fourth Proportional to 277,231.68, 415,898.76 and 87,739.80

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Solution

The fourth proportional to 277,231.68, 415,898.76 and 87,739.80 is: 131,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,231.68 : 415,898.76 = 87,739.80 : x
  2. Step 2: Convert to fraction form
    277,231.68/415,898.76 = 87,739.80/x
  3. Step 3: Cross multiply
    277,231.68x = 415,898.76 × 87,739.80
  4. Step 4: Simplify right side
    277,231.68x = 36,490,874,022.65
  5. Step 5: Solve for x
    x = 36,490,874,022.65/277,231.68
  6. Step 6: Final answer
    x = 131,625.92

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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.