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Finding the Fourth Proportional to 135,076.94, 186,396.84 and 74,647

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Solution

The fourth proportional to 135,076.94, 186,396.84 and 74,647 is: 103,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,076.94 : 186,396.84 = 74,647 : x
  2. Step 2: Convert to fraction form
    135,076.94/186,396.84 = 74,647/x
  3. Step 3: Cross multiply
    135,076.94x = 186,396.84 × 74,647
  4. Step 4: Simplify right side
    135,076.94x = 13,913,964,915.48
  5. Step 5: Solve for x
    x = 13,913,964,915.48/135,076.94
  6. Step 6: Final answer
    x = 103,007.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.