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Finding the Fourth Proportional to 142,992.21, 197,352.86 and 79,350.51

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Solution

The fourth proportional to 142,992.21, 197,352.86 and 79,350.51 is: 109,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,992.21 : 197,352.86 = 79,350.51 : x
  2. Step 2: Convert to fraction form
    142,992.21/197,352.86 = 79,350.51/x
  3. Step 3: Cross multiply
    142,992.21x = 197,352.86 × 79,350.51
  4. Step 4: Simplify right side
    142,992.21x = 15,660,049,694.21
  5. Step 5: Solve for x
    x = 15,660,049,694.21/142,992.21
  6. Step 6: Final answer
    x = 109,516.80

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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.