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Finding the Fourth Proportional to 142,884, 197,186.75 and 79,221.80

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Solution

The fourth proportional to 142,884, 197,186.75 and 79,221.80 is: 109,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,884 : 197,186.75 = 79,221.80 : x
  2. Step 2: Convert to fraction form
    142,884/197,186.75 = 79,221.80/x
  3. Step 3: Cross multiply
    142,884x = 197,186.75 × 79,221.80
  4. Step 4: Simplify right side
    142,884x = 15,621,489,001.54
  5. Step 5: Solve for x
    x = 15,621,489,001.54/142,884
  6. Step 6: Final answer
    x = 109,329.87

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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.