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Finding the Fourth Proportional to 212,698.82, 319,054.41 and 79,553.67

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Solution

The fourth proportional to 212,698.82, 319,054.41 and 79,553.67 is: 119,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,698.82 : 319,054.41 = 79,553.67 : x
  2. Step 2: Convert to fraction form
    212,698.82/319,054.41 = 79,553.67/x
  3. Step 3: Cross multiply
    212,698.82x = 319,054.41 × 79,553.67
  4. Step 4: Simplify right side
    212,698.82x = 25,381,949,245.18
  5. Step 5: Solve for x
    x = 25,381,949,245.18/212,698.82
  6. Step 6: Final answer
    x = 119,332.82

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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.