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Finding the Fourth Proportional to 77,115.78, 115,673.50 and 20,964.05

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Solution

The fourth proportional to 77,115.78, 115,673.50 and 20,964.05 is: 31,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,115.78 : 115,673.50 = 20,964.05 : x
  2. Step 2: Convert to fraction form
    77,115.78/115,673.50 = 20,964.05/x
  3. Step 3: Cross multiply
    77,115.78x = 115,673.50 × 20,964.05
  4. Step 4: Simplify right side
    77,115.78x = 2,424,985,037.68
  5. Step 5: Solve for x
    x = 2,424,985,037.68/77,115.78
  6. Step 6: Final answer
    x = 31,446.03

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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.