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Finding the Fourth Proportional to 136,951.34, 205,426.94 and 51,578.28

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Solution

The fourth proportional to 136,951.34, 205,426.94 and 51,578.28 is: 77,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,951.34 : 205,426.94 = 51,578.28 : x
  2. Step 2: Convert to fraction form
    136,951.34/205,426.94 = 51,578.28/x
  3. Step 3: Cross multiply
    136,951.34x = 205,426.94 × 51,578.28
  4. Step 4: Simplify right side
    136,951.34x = 10,595,567,972.97
  5. Step 5: Solve for x
    x = 10,595,567,972.97/136,951.34
  6. Step 6: Final answer
    x = 77,367.39

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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.