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Finding the Fourth Proportional to 277,204.65, 415,858.26 and 87,712.71

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Solution

The fourth proportional to 277,204.65, 415,858.26 and 87,712.71 is: 131,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,204.65 : 415,858.26 = 87,712.71 : x
  2. Step 2: Convert to fraction form
    277,204.65/415,858.26 = 87,712.71/x
  3. Step 3: Cross multiply
    277,204.65x = 415,858.26 × 87,712.71
  4. Step 4: Simplify right side
    277,204.65x = 36,476,054,960.48
  5. Step 5: Solve for x
    x = 36,476,054,960.48/277,204.65
  6. Step 6: Final answer
    x = 131,585.29

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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.