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Finding the Fourth Proportional to 128,691.76, 192,971.81 and 53,791.47

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Solution

The fourth proportional to 128,691.76, 192,971.81 and 53,791.47 is: 80,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,691.76 : 192,971.81 = 53,791.47 : x
  2. Step 2: Convert to fraction form
    128,691.76/192,971.81 = 53,791.47/x
  3. Step 3: Cross multiply
    128,691.76x = 192,971.81 × 53,791.47
  4. Step 4: Simplify right side
    128,691.76x = 10,380,237,328.46
  5. Step 5: Solve for x
    x = 10,380,237,328.46/128,691.76
  6. Step 6: Final answer
    x = 80,659.69

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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.