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Finding the Fourth Proportional to 172,933.30, 259,399.95 and 137,941.30

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Solution

The fourth proportional to 172,933.30, 259,399.95 and 137,941.30 is: 206,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,933.30 : 259,399.95 = 137,941.30 : x
  2. Step 2: Convert to fraction form
    172,933.30/259,399.95 = 137,941.30/x
  3. Step 3: Cross multiply
    172,933.30x = 259,399.95 × 137,941.30
  4. Step 4: Simplify right side
    172,933.30x = 35,781,966,322.94
  5. Step 5: Solve for x
    x = 35,781,966,322.94/172,933.30
  6. Step 6: Final answer
    x = 206,911.95

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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.