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Finding the Fourth Proportional to 132,671.96, 199,007.49 and 53,786

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Solution

The fourth proportional to 132,671.96, 199,007.49 and 53,786 is: 80,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,671.96 : 199,007.49 = 53,786 : x
  2. Step 2: Convert to fraction form
    132,671.96/199,007.49 = 53,786/x
  3. Step 3: Cross multiply
    132,671.96x = 199,007.49 × 53,786
  4. Step 4: Simplify right side
    132,671.96x = 10,703,816,857.14
  5. Step 5: Solve for x
    x = 10,703,816,857.14/132,671.96
  6. Step 6: Final answer
    x = 80,678.82

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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.