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Finding the Fourth Proportional to 78,400.64, 117,604.80 and 22,992

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Solution

The fourth proportional to 78,400.64, 117,604.80 and 22,992 is: 34,489.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,400.64 : 117,604.80 = 22,992 : x
  2. Step 2: Convert to fraction form
    78,400.64/117,604.80 = 22,992/x
  3. Step 3: Cross multiply
    78,400.64x = 117,604.80 × 22,992
  4. Step 4: Simplify right side
    78,400.64x = 2,703,969,561.60
  5. Step 5: Solve for x
    x = 2,703,969,561.60/78,400.64
  6. Step 6: Final answer
    x = 34,489.13

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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.