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Finding the Fourth Proportional to 192,178.56, 265,188.96 and 107,280

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Solution

The fourth proportional to 192,178.56, 265,188.96 and 107,280 is: 148,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,178.56 : 265,188.96 = 107,280 : x
  2. Step 2: Convert to fraction form
    192,178.56/265,188.96 = 107,280/x
  3. Step 3: Cross multiply
    192,178.56x = 265,188.96 × 107,280
  4. Step 4: Simplify right side
    192,178.56x = 28,449,471,628.80
  5. Step 5: Solve for x
    x = 28,449,471,628.80/192,178.56
  6. Step 6: Final answer
    x = 148,036.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.