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Finding the Fourth Proportional to 106,291.20, 159,091.20 and 82,790.40

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Solution

The fourth proportional to 106,291.20, 159,091.20 and 82,790.40 is: 123,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,291.20 : 159,091.20 = 82,790.40 : x
  2. Step 2: Convert to fraction form
    106,291.20/159,091.20 = 82,790.40/x
  3. Step 3: Cross multiply
    106,291.20x = 159,091.20 × 82,790.40
  4. Step 4: Simplify right side
    106,291.20x = 13,171,224,084.48
  5. Step 5: Solve for x
    x = 13,171,224,084.48/106,291.20
  6. Step 6: Final answer
    x = 123,916.41

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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.