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Finding the Fourth Proportional to 128,989.66, 193,255.34 and 110,077.78

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Solution

The fourth proportional to 128,989.66, 193,255.34 and 110,077.78 is: 164,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,989.66 : 193,255.34 = 110,077.78 : x
  2. Step 2: Convert to fraction form
    128,989.66/193,255.34 = 110,077.78/x
  3. Step 3: Cross multiply
    128,989.66x = 193,255.34 × 110,077.78
  4. Step 4: Simplify right side
    128,989.66x = 21,273,117,834.07
  5. Step 5: Solve for x
    x = 21,273,117,834.07/128,989.66
  6. Step 6: Final answer
    x = 164,921.12

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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.