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Finding the Fourth Proportional to 109,309.29, 163,963.95 and 84,385.72

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Solution

The fourth proportional to 109,309.29, 163,963.95 and 84,385.72 is: 126,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,309.29 : 163,963.95 = 84,385.72 : x
  2. Step 2: Convert to fraction form
    109,309.29/163,963.95 = 84,385.72/x
  3. Step 3: Cross multiply
    109,309.29x = 163,963.95 × 84,385.72
  4. Step 4: Simplify right side
    109,309.29x = 13,836,215,974.79
  5. Step 5: Solve for x
    x = 13,836,215,974.79/109,309.29
  6. Step 6: Final answer
    x = 126,578.59

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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.