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Finding the Fourth Proportional to 128,990.66, 193,256.84 and 110,078.78

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Solution

The fourth proportional to 128,990.66, 193,256.84 and 110,078.78 is: 164,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,990.66 : 193,256.84 = 110,078.78 : x
  2. Step 2: Convert to fraction form
    128,990.66/193,256.84 = 110,078.78/x
  3. Step 3: Cross multiply
    128,990.66x = 193,256.84 × 110,078.78
  4. Step 4: Simplify right side
    128,990.66x = 21,273,477,173.86
  5. Step 5: Solve for x
    x = 21,273,477,173.86/128,990.66
  6. Step 6: Final answer
    x = 164,922.62

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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.