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Finding the Fourth Proportional to 199,591.74, 299,391.86 and 71,516.39

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Solution

The fourth proportional to 199,591.74, 299,391.86 and 71,516.39 is: 107,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,591.74 : 299,391.86 = 71,516.39 : x
  2. Step 2: Convert to fraction form
    199,591.74/299,391.86 = 71,516.39/x
  3. Step 3: Cross multiply
    199,591.74x = 299,391.86 × 71,516.39
  4. Step 4: Simplify right side
    199,591.74x = 21,411,425,022.59
  5. Step 5: Solve for x
    x = 21,411,425,022.59/199,591.74
  6. Step 6: Final answer
    x = 107,276.11

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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.