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Finding the Fourth Proportional to 208,728.56, 288,043.80 and 113,234.96

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Solution

The fourth proportional to 208,728.56, 288,043.80 and 113,234.96 is: 156,263.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,728.56 : 288,043.80 = 113,234.96 : x
  2. Step 2: Convert to fraction form
    208,728.56/288,043.80 = 113,234.96/x
  3. Step 3: Cross multiply
    208,728.56x = 288,043.80 × 113,234.96
  4. Step 4: Simplify right side
    208,728.56x = 32,616,628,171.25
  5. Step 5: Solve for x
    x = 32,616,628,171.25/208,728.56
  6. Step 6: Final answer
    x = 156,263.37

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1.5x scale

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.