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Finding the Fourth Proportional to 109,308.78, 163,963.20 and 84,385.22

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Solution

The fourth proportional to 109,308.78, 163,963.20 and 84,385.22 is: 126,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,308.78 : 163,963.20 = 84,385.22 : x
  2. Step 2: Convert to fraction form
    109,308.78/163,963.20 = 84,385.22/x
  3. Step 3: Cross multiply
    109,308.78x = 163,963.20 × 84,385.22
  4. Step 4: Simplify right side
    109,308.78x = 13,836,069,884.09
  5. Step 5: Solve for x
    x = 13,836,069,884.09/109,308.78
  6. Step 6: Final answer
    x = 126,577.85

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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.