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Finding the Fourth Proportional to 277,236.69, 415,870.17 and 87,682.91

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Solution

The fourth proportional to 277,236.69, 415,870.17 and 87,682.91 is: 131,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,236.69 : 415,870.17 = 87,682.91 : x
  2. Step 2: Convert to fraction form
    277,236.69/415,870.17 = 87,682.91/x
  3. Step 3: Cross multiply
    277,236.69x = 415,870.17 × 87,682.91
  4. Step 4: Simplify right side
    277,236.69x = 36,464,704,799.47
  5. Step 5: Solve for x
    x = 36,464,704,799.47/277,236.69
  6. Step 6: Final answer
    x = 131,529.15

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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.