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Finding the Fourth Proportional to 135,175.73, 186,467.69 and 78,580.85

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Solution

The fourth proportional to 135,175.73, 186,467.69 and 78,580.85 is: 108,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,175.73 : 186,467.69 = 78,580.85 : x
  2. Step 2: Convert to fraction form
    135,175.73/186,467.69 = 78,580.85/x
  3. Step 3: Cross multiply
    135,175.73x = 186,467.69 × 78,580.85
  4. Step 4: Simplify right side
    135,175.73x = 14,652,789,184.83
  5. Step 5: Solve for x
    x = 14,652,789,184.83/135,175.73
  6. Step 6: Final answer
    x = 108,398.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.