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Finding the Fourth Proportional to 128,842.36, 193,338.90 and 53,956.22

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Solution

The fourth proportional to 128,842.36, 193,338.90 and 53,956.22 is: 80,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,842.36 : 193,338.90 = 53,956.22 : x
  2. Step 2: Convert to fraction form
    128,842.36/193,338.90 = 53,956.22/x
  3. Step 3: Cross multiply
    128,842.36x = 193,338.90 × 53,956.22
  4. Step 4: Simplify right side
    128,842.36x = 10,431,835,256.26
  5. Step 5: Solve for x
    x = 10,431,835,256.26/128,842.36
  6. Step 6: Final answer
    x = 80,965.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.