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Finding the Fourth Proportional to 109,085.76, 163,825.92 and 100,304.64

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Solution

The fourth proportional to 109,085.76, 163,825.92 and 100,304.64 is: 150,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,085.76 : 163,825.92 = 100,304.64 : x
  2. Step 2: Convert to fraction form
    109,085.76/163,825.92 = 100,304.64/x
  3. Step 3: Cross multiply
    109,085.76x = 163,825.92 × 100,304.64
  4. Step 4: Simplify right side
    109,085.76x = 16,432,499,928.27
  5. Step 5: Solve for x
    x = 16,432,499,928.27/109,085.76
  6. Step 6: Final answer
    x = 150,638.36

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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.