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Finding the Fourth Proportional to 163,538.88, 225,704.52 and 99,863.28

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Solution

The fourth proportional to 163,538.88, 225,704.52 and 99,863.28 is: 137,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,538.88 : 225,704.52 = 99,863.28 : x
  2. Step 2: Convert to fraction form
    163,538.88/225,704.52 = 99,863.28/x
  3. Step 3: Cross multiply
    163,538.88x = 225,704.52 × 99,863.28
  4. Step 4: Simplify right side
    163,538.88x = 22,539,593,678.03
  5. Step 5: Solve for x
    x = 22,539,593,678.03/163,538.88
  6. Step 6: Final answer
    x = 137,824.07

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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.