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Finding the Fourth Proportional to 106,971.56, 160,405.36 and 53,640.64

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Solution

The fourth proportional to 106,971.56, 160,405.36 and 53,640.64 is: 80,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,971.56 : 160,405.36 = 53,640.64 : x
  2. Step 2: Convert to fraction form
    106,971.56/160,405.36 = 53,640.64/x
  3. Step 3: Cross multiply
    106,971.56x = 160,405.36 × 53,640.64
  4. Step 4: Simplify right side
    106,971.56x = 8,604,246,169.83
  5. Step 5: Solve for x
    x = 8,604,246,169.83/106,971.56
  6. Step 6: Final answer
    x = 80,434.89

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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.