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Finding the Fourth Proportional to 108,843.84, 163,202.90 and 42,206.12

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Solution

The fourth proportional to 108,843.84, 163,202.90 and 42,206.12 is: 63,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,843.84 : 163,202.90 = 42,206.12 : x
  2. Step 2: Convert to fraction form
    108,843.84/163,202.90 = 42,206.12/x
  3. Step 3: Cross multiply
    108,843.84x = 163,202.90 × 42,206.12
  4. Step 4: Simplify right side
    108,843.84x = 6,888,161,181.75
  5. Step 5: Solve for x
    x = 6,888,161,181.75/108,843.84
  6. Step 6: Final answer
    x = 63,284.80

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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.