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Finding the Fourth Proportional to 188,555.42, 282,833.12 and 132,645.71

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Solution

The fourth proportional to 188,555.42, 282,833.12 and 132,645.71 is: 198,968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,555.42 : 282,833.12 = 132,645.71 : x
  2. Step 2: Convert to fraction form
    188,555.42/282,833.12 = 132,645.71/x
  3. Step 3: Cross multiply
    188,555.42x = 282,833.12 × 132,645.71
  4. Step 4: Simplify right side
    188,555.42x = 37,516,597,936.52
  5. Step 5: Solve for x
    x = 37,516,597,936.52/188,555.42
  6. Step 6: Final answer
    x = 198,968.55

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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.