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Finding the Fourth Proportional to 145,538.91, 200,843.37 and 81,876.74

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Solution

The fourth proportional to 145,538.91, 200,843.37 and 81,876.74 is: 112,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,538.91 : 200,843.37 = 81,876.74 : x
  2. Step 2: Convert to fraction form
    145,538.91/200,843.37 = 81,876.74/x
  3. Step 3: Cross multiply
    145,538.91x = 200,843.37 × 81,876.74
  4. Step 4: Simplify right side
    145,538.91x = 16,444,399,382.00
  5. Step 5: Solve for x
    x = 16,444,399,382.00/145,538.91
  6. Step 6: Final answer
    x = 112,989.71

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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.