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Finding the Fourth Proportional to 106,660.80, 159,845.40 and 71,020.80

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Solution

The fourth proportional to 106,660.80, 159,845.40 and 71,020.80 is: 106,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,660.80 : 159,845.40 = 71,020.80 : x
  2. Step 2: Convert to fraction form
    106,660.80/159,845.40 = 71,020.80/x
  3. Step 3: Cross multiply
    106,660.80x = 159,845.40 × 71,020.80
  4. Step 4: Simplify right side
    106,660.80x = 11,352,348,184.32
  5. Step 5: Solve for x
    x = 11,352,348,184.32/106,660.80
  6. Step 6: Final answer
    x = 106,434.12

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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.