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Finding the Fourth Proportional to 185,563.33, 278,129.84 and 85,513.34

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Solution

The fourth proportional to 185,563.33, 278,129.84 and 85,513.34 is: 128,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,563.33 : 278,129.84 = 85,513.34 : x
  2. Step 2: Convert to fraction form
    185,563.33/278,129.84 = 85,513.34/x
  3. Step 3: Cross multiply
    185,563.33x = 278,129.84 × 85,513.34
  4. Step 4: Simplify right side
    185,563.33x = 23,783,811,839.82
  5. Step 5: Solve for x
    x = 23,783,811,839.82/185,563.33
  6. Step 6: Final answer
    x = 128,170.86

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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.