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Finding the Fourth Proportional to 77,199, 114,954.96 and 74,361.60

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Solution

The fourth proportional to 77,199, 114,954.96 and 74,361.60 is: 110,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,199 : 114,954.96 = 74,361.60 : x
  2. Step 2: Convert to fraction form
    77,199/114,954.96 = 74,361.60/x
  3. Step 3: Cross multiply
    77,199x = 114,954.96 × 74,361.60
  4. Step 4: Simplify right side
    77,199x = 8,548,234,753.54
  5. Step 5: Solve for x
    x = 8,548,234,753.54/77,199
  6. Step 6: Final answer
    x = 110,729.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.