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Finding the Fourth Proportional to 239,405.94, 330,349.12 and 137,435.85

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Solution

The fourth proportional to 239,405.94, 330,349.12 and 137,435.85 is: 189,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,405.94 : 330,349.12 = 137,435.85 : x
  2. Step 2: Convert to fraction form
    239,405.94/330,349.12 = 137,435.85/x
  3. Step 3: Cross multiply
    239,405.94x = 330,349.12 × 137,435.85
  4. Step 4: Simplify right side
    239,405.94x = 45,401,811,760.36
  5. Step 5: Solve for x
    x = 45,401,811,760.36/239,405.94
  6. Step 6: Final answer
    x = 189,643.63

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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.