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Finding the Fourth Proportional to 128,274.78, 192,295.17 and 49,447.74

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Solution

The fourth proportional to 128,274.78, 192,295.17 and 49,447.74 is: 74,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,274.78 : 192,295.17 = 49,447.74 : x
  2. Step 2: Convert to fraction form
    128,274.78/192,295.17 = 49,447.74/x
  3. Step 3: Cross multiply
    128,274.78x = 192,295.17 × 49,447.74
  4. Step 4: Simplify right side
    128,274.78x = 9,508,561,569.42
  5. Step 5: Solve for x
    x = 9,508,561,569.42/128,274.78
  6. Step 6: Final answer
    x = 74,126.51

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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.