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Finding the Fourth Proportional to 78,571, 117,860.16 and 22,414.96

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Solution

The fourth proportional to 78,571, 117,860.16 and 22,414.96 is: 33,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571 : 117,860.16 = 22,414.96 : x
  2. Step 2: Convert to fraction form
    78,571/117,860.16 = 22,414.96/x
  3. Step 3: Cross multiply
    78,571x = 117,860.16 × 22,414.96
  4. Step 4: Simplify right side
    78,571x = 2,641,830,771.99
  5. Step 5: Solve for x
    x = 2,641,830,771.99/78,571
  6. Step 6: Final answer
    x = 33,623.48

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1.5x scale

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.