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Finding the Fourth Proportional to 135,342, 186,767.28 and 74,915.28

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Solution

The fourth proportional to 135,342, 186,767.28 and 74,915.28 is: 103,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,342 : 186,767.28 = 74,915.28 : x
  2. Step 2: Convert to fraction form
    135,342/186,767.28 = 74,915.28/x
  3. Step 3: Cross multiply
    135,342x = 186,767.28 × 74,915.28
  4. Step 4: Simplify right side
    135,342x = 13,991,723,076.04
  5. Step 5: Solve for x
    x = 13,991,723,076.04/135,342
  6. Step 6: Final answer
    x = 103,380.50

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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.