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Finding the Fourth Proportional to 86,107.30, 128,930.55 and 54,772.90

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Solution

The fourth proportional to 86,107.30, 128,930.55 and 54,772.90 is: 82,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,107.30 : 128,930.55 = 54,772.90 : x
  2. Step 2: Convert to fraction form
    86,107.30/128,930.55 = 54,772.90/x
  3. Step 3: Cross multiply
    86,107.30x = 128,930.55 × 54,772.90
  4. Step 4: Simplify right side
    86,107.30x = 7,061,900,122.10
  5. Step 5: Solve for x
    x = 7,061,900,122.10/86,107.30
  6. Step 6: Final answer
    x = 82,012.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.