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Finding the Fourth Proportional to 85,204, 117,582.06 and 47,478.52

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Solution

The fourth proportional to 85,204, 117,582.06 and 47,478.52 is: 65,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,204 : 117,582.06 = 47,478.52 : x
  2. Step 2: Convert to fraction form
    85,204/117,582.06 = 47,478.52/x
  3. Step 3: Cross multiply
    85,204x = 117,582.06 × 47,478.52
  4. Step 4: Simplify right side
    85,204x = 5,582,622,187.35
  5. Step 5: Solve for x
    x = 5,582,622,187.35/85,204
  6. Step 6: Final answer
    x = 65,520.66

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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.