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Finding the Fourth Proportional to 159,245.12, 219,764.12 and 87,628.16

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Solution

The fourth proportional to 159,245.12, 219,764.12 and 87,628.16 is: 120,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,245.12 : 219,764.12 = 87,628.16 : x
  2. Step 2: Convert to fraction form
    159,245.12/219,764.12 = 87,628.16/x
  3. Step 3: Cross multiply
    159,245.12x = 219,764.12 × 87,628.16
  4. Step 4: Simplify right side
    159,245.12x = 19,257,523,932.66
  5. Step 5: Solve for x
    x = 19,257,523,932.66/159,245.12
  6. Step 6: Final answer
    x = 120,930.08

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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.