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Finding the Fourth Proportional to 212,742.97, 319,169.81 and 79,633.51

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Solution

The fourth proportional to 212,742.97, 319,169.81 and 79,633.51 is: 119,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,742.97 : 319,169.81 = 79,633.51 : x
  2. Step 2: Convert to fraction form
    212,742.97/319,169.81 = 79,633.51/x
  3. Step 3: Cross multiply
    212,742.97x = 319,169.81 × 79,633.51
  4. Step 4: Simplify right side
    212,742.97x = 25,416,611,657.49
  5. Step 5: Solve for x
    x = 25,416,611,657.49/212,742.97
  6. Step 6: Final answer
    x = 119,470.98

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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.