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Finding the Fourth Proportional to 135,504, 186,915.12 and 81,757.20

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Solution

The fourth proportional to 135,504, 186,915.12 and 81,757.20 is: 112,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,504 : 186,915.12 = 81,757.20 : x
  2. Step 2: Convert to fraction form
    135,504/186,915.12 = 81,757.20/x
  3. Step 3: Cross multiply
    135,504x = 186,915.12 × 81,757.20
  4. Step 4: Simplify right side
    135,504x = 15,281,656,848.86
  5. Step 5: Solve for x
    x = 15,281,656,848.86/135,504
  6. Step 6: Final answer
    x = 112,776.43

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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.