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Finding the Fourth Proportional to 128,934.25, 193,401.41 and 40,194.90

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Solution

The fourth proportional to 128,934.25, 193,401.41 and 40,194.90 is: 60,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,934.25 : 193,401.41 = 40,194.90 : x
  2. Step 2: Convert to fraction form
    128,934.25/193,401.41 = 40,194.90/x
  3. Step 3: Cross multiply
    128,934.25x = 193,401.41 × 40,194.90
  4. Step 4: Simplify right side
    128,934.25x = 7,773,750,133.83
  5. Step 5: Solve for x
    x = 7,773,750,133.83/128,934.25
  6. Step 6: Final answer
    x = 60,292.36

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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.