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Finding the Fourth Proportional to 83,520, 115,253.76 and 50,004.48

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Solution

The fourth proportional to 83,520, 115,253.76 and 50,004.48 is: 69,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,520 : 115,253.76 = 50,004.48 : x
  2. Step 2: Convert to fraction form
    83,520/115,253.76 = 50,004.48/x
  3. Step 3: Cross multiply
    83,520x = 115,253.76 × 50,004.48
  4. Step 4: Simplify right side
    83,520x = 5,763,204,336.84
  5. Step 5: Solve for x
    x = 5,763,204,336.84/83,520
  6. Step 6: Final answer
    x = 69,003.88

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1.5x scale

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.