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Finding the Fourth Proportional to 106,578.80, 159,868.20 and 102,028.40

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Solution

The fourth proportional to 106,578.80, 159,868.20 and 102,028.40 is: 153,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,578.80 : 159,868.20 = 102,028.40 : x
  2. Step 2: Convert to fraction form
    106,578.80/159,868.20 = 102,028.40/x
  3. Step 3: Cross multiply
    106,578.80x = 159,868.20 × 102,028.40
  4. Step 4: Simplify right side
    106,578.80x = 16,311,096,656.88
  5. Step 5: Solve for x
    x = 16,311,096,656.88/106,578.80
  6. Step 6: Final answer
    x = 153,042.60

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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.