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Finding the Fourth Proportional to 78,078.62, 117,115.80 and 21,919.19

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Solution

The fourth proportional to 78,078.62, 117,115.80 and 21,919.19 is: 32,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.62 : 117,115.80 = 21,919.19 : x
  2. Step 2: Convert to fraction form
    78,078.62/117,115.80 = 21,919.19/x
  3. Step 3: Cross multiply
    78,078.62x = 117,115.80 × 21,919.19
  4. Step 4: Simplify right side
    78,078.62x = 2,567,082,886.62
  5. Step 5: Solve for x
    x = 2,567,082,886.62/78,078.62
  6. Step 6: Final answer
    x = 32,878.18

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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.