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Finding the Fourth Proportional to 71,867.60, 107,796.36 and 26,880.40

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Solution

The fourth proportional to 71,867.60, 107,796.36 and 26,880.40 is: 40,318.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,867.60 : 107,796.36 = 26,880.40 : x
  2. Step 2: Convert to fraction form
    71,867.60/107,796.36 = 26,880.40/x
  3. Step 3: Cross multiply
    71,867.60x = 107,796.36 × 26,880.40
  4. Step 4: Simplify right side
    71,867.60x = 2,897,609,275.34
  5. Step 5: Solve for x
    x = 2,897,609,275.34/71,867.60
  6. Step 6: Final answer
    x = 40,318.71

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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.