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Finding the Fourth Proportional to 78,628.78, 117,994.20 and 34,283.71

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Solution

The fourth proportional to 78,628.78, 117,994.20 and 34,283.71 is: 51,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,628.78 : 117,994.20 = 34,283.71 : x
  2. Step 2: Convert to fraction form
    78,628.78/117,994.20 = 34,283.71/x
  3. Step 3: Cross multiply
    78,628.78x = 117,994.20 × 34,283.71
  4. Step 4: Simplify right side
    78,628.78x = 4,045,278,934.48
  5. Step 5: Solve for x
    x = 4,045,278,934.48/78,628.78
  6. Step 6: Final answer
    x = 51,447.82

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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.