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Finding the Fourth Proportional to 98,198.28, 135,513.66 and 53,486.28

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Solution

The fourth proportional to 98,198.28, 135,513.66 and 53,486.28 is: 73,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,198.28 : 135,513.66 = 53,486.28 : x
  2. Step 2: Convert to fraction form
    98,198.28/135,513.66 = 53,486.28/x
  3. Step 3: Cross multiply
    98,198.28x = 135,513.66 × 53,486.28
  4. Step 4: Simplify right side
    98,198.28x = 7,248,121,562.58
  5. Step 5: Solve for x
    x = 7,248,121,562.58/98,198.28
  6. Step 6: Final answer
    x = 73,811.08

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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.