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Finding the Fourth Proportional to 192,875.59, 289,359.57 and 80,493.31

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Solution

The fourth proportional to 192,875.59, 289,359.57 and 80,493.31 is: 120,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,875.59 : 289,359.57 = 80,493.31 : x
  2. Step 2: Convert to fraction form
    192,875.59/289,359.57 = 80,493.31/x
  3. Step 3: Cross multiply
    192,875.59x = 289,359.57 × 80,493.31
  4. Step 4: Simplify right side
    192,875.59x = 23,291,509,569.48
  5. Step 5: Solve for x
    x = 23,291,509,569.48/192,875.59
  6. Step 6: Final answer
    x = 120,759.24

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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.