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Finding the Fourth Proportional to 185,881.77, 278,630.82 and 73,516.43

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Solution

The fourth proportional to 185,881.77, 278,630.82 and 73,516.43 is: 110,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,881.77 : 278,630.82 = 73,516.43 : x
  2. Step 2: Convert to fraction form
    185,881.77/278,630.82 = 73,516.43/x
  3. Step 3: Cross multiply
    185,881.77x = 278,630.82 × 73,516.43
  4. Step 4: Simplify right side
    185,881.77x = 20,483,943,870.95
  5. Step 5: Solve for x
    x = 20,483,943,870.95/185,881.77
  6. Step 6: Final answer
    x = 110,198.78

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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.