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Finding the Fourth Proportional to 78,874.19, 118,240.78 and 28,942.71

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Solution

The fourth proportional to 78,874.19, 118,240.78 and 28,942.71 is: 43,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,874.19 : 118,240.78 = 28,942.71 : x
  2. Step 2: Convert to fraction form
    78,874.19/118,240.78 = 28,942.71/x
  3. Step 3: Cross multiply
    78,874.19x = 118,240.78 × 28,942.71
  4. Step 4: Simplify right side
    78,874.19x = 3,422,208,605.71
  5. Step 5: Solve for x
    x = 3,422,208,605.71/78,874.19
  6. Step 6: Final answer
    x = 43,388.19

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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.