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Finding the Fourth Proportional to 98,722.16, 136,236.04 and 53,400

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Solution

The fourth proportional to 98,722.16, 136,236.04 and 53,400 is: 73,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,722.16 : 136,236.04 = 53,400 : x
  2. Step 2: Convert to fraction form
    98,722.16/136,236.04 = 53,400/x
  3. Step 3: Cross multiply
    98,722.16x = 136,236.04 × 53,400
  4. Step 4: Simplify right side
    98,722.16x = 7,275,004,536
  5. Step 5: Solve for x
    x = 7,275,004,536/98,722.16
  6. Step 6: Final answer
    x = 73,691.71

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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.