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Finding the Fourth Proportional to 126,720, 174,873.60 and 73,728

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Solution

The fourth proportional to 126,720, 174,873.60 and 73,728 is: 101,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 174,873.60 = 73,728 : x
  2. Step 2: Convert to fraction form
    126,720/174,873.60 = 73,728/x
  3. Step 3: Cross multiply
    126,720x = 174,873.60 × 73,728
  4. Step 4: Simplify right side
    126,720x = 12,893,080,780.80
  5. Step 5: Solve for x
    x = 12,893,080,780.80/126,720
  6. Step 6: Final answer
    x = 101,744.64

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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.