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Finding the Fourth Proportional to 144,952.64, 200,034.26 and 81,291.80

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Solution

The fourth proportional to 144,952.64, 200,034.26 and 81,291.80 is: 112,182.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,952.64 : 200,034.26 = 81,291.80 : x
  2. Step 2: Convert to fraction form
    144,952.64/200,034.26 = 81,291.80/x
  3. Step 3: Cross multiply
    144,952.64x = 200,034.26 × 81,291.80
  4. Step 4: Simplify right side
    144,952.64x = 16,261,145,455.54
  5. Step 5: Solve for x
    x = 16,261,145,455.54/144,952.64
  6. Step 6: Final answer
    x = 112,182.47

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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.