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Finding the Fourth Proportional to 200,042.59, 275,615.71 and 131,939.41

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Solution

The fourth proportional to 200,042.59, 275,615.71 and 131,939.41 is: 181,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,042.59 : 275,615.71 = 131,939.41 : x
  2. Step 2: Convert to fraction form
    200,042.59/275,615.71 = 131,939.41/x
  3. Step 3: Cross multiply
    200,042.59x = 275,615.71 × 131,939.41
  4. Step 4: Simplify right side
    200,042.59x = 36,364,574,164.13
  5. Step 5: Solve for x
    x = 36,364,574,164.13/200,042.59
  6. Step 6: Final answer
    x = 181,784.16

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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.