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Finding the Fourth Proportional to 76,314.73, 114,540.71 and 40,806.40

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Solution

The fourth proportional to 76,314.73, 114,540.71 and 40,806.40 is: 61,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,314.73 : 114,540.71 = 40,806.40 : x
  2. Step 2: Convert to fraction form
    76,314.73/114,540.71 = 40,806.40/x
  3. Step 3: Cross multiply
    76,314.73x = 114,540.71 × 40,806.40
  4. Step 4: Simplify right side
    76,314.73x = 4,673,994,189.84
  5. Step 5: Solve for x
    x = 4,673,994,189.84/76,314.73
  6. Step 6: Final answer
    x = 61,246.29

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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.