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Finding the Fourth Proportional to 199,333.14, 299,121.76 and 79,447.58

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Solution

The fourth proportional to 199,333.14, 299,121.76 and 79,447.58 is: 119,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,333.14 : 299,121.76 = 79,447.58 : x
  2. Step 2: Convert to fraction form
    199,333.14/299,121.76 = 79,447.58/x
  3. Step 3: Cross multiply
    199,333.14x = 299,121.76 × 79,447.58
  4. Step 4: Simplify right side
    199,333.14x = 23,764,499,957.34
  5. Step 5: Solve for x
    x = 23,764,499,957.34/199,333.14
  6. Step 6: Final answer
    x = 119,220.02

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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.