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Finding the Fourth Proportional to 72,286.60, 108,446.10 and 27,909.40

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Solution

The fourth proportional to 72,286.60, 108,446.10 and 27,909.40 is: 41,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286.60 : 108,446.10 = 27,909.40 : x
  2. Step 2: Convert to fraction form
    72,286.60/108,446.10 = 27,909.40/x
  3. Step 3: Cross multiply
    72,286.60x = 108,446.10 × 27,909.40
  4. Step 4: Simplify right side
    72,286.60x = 3,026,665,583.34
  5. Step 5: Solve for x
    x = 3,026,665,583.34/72,286.60
  6. Step 6: Final answer
    x = 41,870.35

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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.