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Finding the Fourth Proportional to 76,496.81, 114,499.64 and 40,869.09

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Solution

The fourth proportional to 76,496.81, 114,499.64 and 40,869.09 is: 61,172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,496.81 : 114,499.64 = 40,869.09 : x
  2. Step 2: Convert to fraction form
    76,496.81/114,499.64 = 40,869.09/x
  3. Step 3: Cross multiply
    76,496.81x = 114,499.64 × 40,869.09
  4. Step 4: Simplify right side
    76,496.81x = 4,679,496,194.30
  5. Step 5: Solve for x
    x = 4,679,496,194.30/76,496.81
  6. Step 6: Final answer
    x = 61,172.44

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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.