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Finding the Fourth Proportional to 76,809.89, 115,191.44 and 26,880.68

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Solution

The fourth proportional to 76,809.89, 115,191.44 and 26,880.68 is: 40,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809.89 : 115,191.44 = 26,880.68 : x
  2. Step 2: Convert to fraction form
    76,809.89/115,191.44 = 26,880.68/x
  3. Step 3: Cross multiply
    76,809.89x = 115,191.44 × 26,880.68
  4. Step 4: Simplify right side
    76,809.89x = 3,096,423,527.02
  5. Step 5: Solve for x
    x = 3,096,423,527.02/76,809.89
  6. Step 6: Final answer
    x = 40,312.83

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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.