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Finding the Fourth Proportional to 78,617.39, 117,934.38 and 45,336.71

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Solution

The fourth proportional to 78,617.39, 117,934.38 and 45,336.71 is: 68,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,617.39 : 117,934.38 = 45,336.71 : x
  2. Step 2: Convert to fraction form
    78,617.39/117,934.38 = 45,336.71/x
  3. Step 3: Cross multiply
    78,617.39x = 117,934.38 × 45,336.71
  4. Step 4: Simplify right side
    78,617.39x = 5,346,757,079.93
  5. Step 5: Solve for x
    x = 5,346,757,079.93/78,617.39
  6. Step 6: Final answer
    x = 68,009.86

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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.