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Finding the Fourth Proportional to 160,129, 220,978.38 and 96,469.48

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Solution

The fourth proportional to 160,129, 220,978.38 and 96,469.48 is: 133,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,129 : 220,978.38 = 96,469.48 : x
  2. Step 2: Convert to fraction form
    160,129/220,978.38 = 96,469.48/x
  3. Step 3: Cross multiply
    160,129x = 220,978.38 × 96,469.48
  4. Step 4: Simplify right side
    160,129x = 21,317,669,409.84
  5. Step 5: Solve for x
    x = 21,317,669,409.84/160,129
  6. Step 6: Final answer
    x = 133,128.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.