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Finding the Fourth Proportional to 239,798.68, 330,933.20 and 137,857.14

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Solution

The fourth proportional to 239,798.68, 330,933.20 and 137,857.14 is: 190,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,798.68 : 330,933.20 = 137,857.14 : x
  2. Step 2: Convert to fraction form
    239,798.68/330,933.20 = 137,857.14/x
  3. Step 3: Cross multiply
    239,798.68x = 330,933.20 × 137,857.14
  4. Step 4: Simplify right side
    239,798.68x = 45,621,503,793.76
  5. Step 5: Solve for x
    x = 45,621,503,793.76/239,798.68
  6. Step 6: Final answer
    x = 190,249.19

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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.