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Finding the Fourth Proportional to 78,226.74, 117,269.64 and 30,830.40

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Solution

The fourth proportional to 78,226.74, 117,269.64 and 30,830.40 is: 46,217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,226.74 : 117,269.64 = 30,830.40 : x
  2. Step 2: Convert to fraction form
    78,226.74/117,269.64 = 30,830.40/x
  3. Step 3: Cross multiply
    78,226.74x = 117,269.64 × 30,830.40
  4. Step 4: Simplify right side
    78,226.74x = 3,615,469,909.06
  5. Step 5: Solve for x
    x = 3,615,469,909.06/78,226.74
  6. Step 6: Final answer
    x = 46,217.83

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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.