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Finding the Fourth Proportional to 106,912.40, 160,368.60 and 82,029.20

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Solution

The fourth proportional to 106,912.40, 160,368.60 and 82,029.20 is: 123,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,912.40 : 160,368.60 = 82,029.20 : x
  2. Step 2: Convert to fraction form
    106,912.40/160,368.60 = 82,029.20/x
  3. Step 3: Cross multiply
    106,912.40x = 160,368.60 × 82,029.20
  4. Step 4: Simplify right side
    106,912.40x = 13,154,907,963.12
  5. Step 5: Solve for x
    x = 13,154,907,963.12/106,912.40
  6. Step 6: Final answer
    x = 123,043.80

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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.