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Finding the Fourth Proportional to 82,915.85, 114,388.40 and 54,185.64

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Solution

The fourth proportional to 82,915.85, 114,388.40 and 54,185.64 is: 74,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,915.85 : 114,388.40 = 54,185.64 : x
  2. Step 2: Convert to fraction form
    82,915.85/114,388.40 = 54,185.64/x
  3. Step 3: Cross multiply
    82,915.85x = 114,388.40 × 54,185.64
  4. Step 4: Simplify right side
    82,915.85x = 6,198,209,227.00
  5. Step 5: Solve for x
    x = 6,198,209,227.00/82,915.85
  6. Step 6: Final answer
    x = 74,753.01

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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.