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Finding the Fourth Proportional to 108,843.59, 163,202.53 and 42,205.87

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Solution

The fourth proportional to 108,843.59, 163,202.53 and 42,205.87 is: 63,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,843.59 : 163,202.53 = 42,205.87 : x
  2. Step 2: Convert to fraction form
    108,843.59/163,202.53 = 42,205.87/x
  3. Step 3: Cross multiply
    108,843.59x = 163,202.53 × 42,205.87
  4. Step 4: Simplify right side
    108,843.59x = 6,888,104,764.85
  5. Step 5: Solve for x
    x = 6,888,104,764.85/108,843.59
  6. Step 6: Final answer
    x = 63,284.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.