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Finding the Fourth Proportional to 78,664.92, 117,995.22 and 19,499.28

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Solution

The fourth proportional to 78,664.92, 117,995.22 and 19,499.28 is: 29,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,664.92 : 117,995.22 = 19,499.28 : x
  2. Step 2: Convert to fraction form
    78,664.92/117,995.22 = 19,499.28/x
  3. Step 3: Cross multiply
    78,664.92x = 117,995.22 × 19,499.28
  4. Step 4: Simplify right side
    78,664.92x = 2,300,821,833.44
  5. Step 5: Solve for x
    x = 2,300,821,833.44/78,664.92
  6. Step 6: Final answer
    x = 29,248.38

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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.