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Finding the Fourth Proportional to 160,728.30, 221,548.91 and 126,684

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Solution

The fourth proportional to 160,728.30, 221,548.91 and 126,684 is: 174,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,728.30 : 221,548.91 = 126,684 : x
  2. Step 2: Convert to fraction form
    160,728.30/221,548.91 = 126,684/x
  3. Step 3: Cross multiply
    160,728.30x = 221,548.91 × 126,684
  4. Step 4: Simplify right side
    160,728.30x = 28,066,701,481.02
  5. Step 5: Solve for x
    x = 28,066,701,481.02/160,728.30
  6. Step 6: Final answer
    x = 174,622.03

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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.