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Finding the Fourth Proportional to 109,104.60, 163,729.80 and 49,909.80

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Solution

The fourth proportional to 109,104.60, 163,729.80 and 49,909.80 is: 74,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,104.60 : 163,729.80 = 49,909.80 : x
  2. Step 2: Convert to fraction form
    109,104.60/163,729.80 = 49,909.80/x
  3. Step 3: Cross multiply
    109,104.60x = 163,729.80 × 49,909.80
  4. Step 4: Simplify right side
    109,104.60x = 8,171,721,572.04
  5. Step 5: Solve for x
    x = 8,171,721,572.04/109,104.60
  6. Step 6: Final answer
    x = 74,898.05

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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.