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Finding the Fourth Proportional to 128,983.94, 193,203.34 and 81,574.64

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Solution

The fourth proportional to 128,983.94, 193,203.34 and 81,574.64 is: 122,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,983.94 : 193,203.34 = 81,574.64 : x
  2. Step 2: Convert to fraction form
    128,983.94/193,203.34 = 81,574.64/x
  3. Step 3: Cross multiply
    128,983.94x = 193,203.34 × 81,574.64
  4. Step 4: Simplify right side
    128,983.94x = 15,760,491,737.34
  5. Step 5: Solve for x
    x = 15,760,491,737.34/128,983.94
  6. Step 6: Final answer
    x = 122,189.57

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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.