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Finding the Fourth Proportional to 192,826.31, 289,192.25 and 80,507.45

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Solution

The fourth proportional to 192,826.31, 289,192.25 and 80,507.45 is: 120,741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,826.31 : 289,192.25 = 80,507.45 : x
  2. Step 2: Convert to fraction form
    192,826.31/289,192.25 = 80,507.45/x
  3. Step 3: Cross multiply
    192,826.31x = 289,192.25 × 80,507.45
  4. Step 4: Simplify right side
    192,826.31x = 23,282,128,758.76
  5. Step 5: Solve for x
    x = 23,282,128,758.76/192,826.31
  6. Step 6: Final answer
    x = 120,741.46

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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.